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1052964528 = 243721140699
BaseRepresentation
bin111110110000101…
…111011010110000
32201101100010210020
4332300233122300
54124024331103
6252252403440
735044023300
oct7660573260
92641303706
101052964528
114a0409920
12254776580
1313a1c2a45
149dbb7600
1562694753
hex3ec2f6b0

1052964528 has 120 divisors (see below), whose sum is σ = 3452011200. Its totient is φ = 273490560.

The previous prime is 1052964527. The next prime is 1052964529. The reversal of 1052964528 is 8254692501.

It is an interprime number because it is at equal distance from previous prime (1052964527) and next prime (1052964529).

It is a super-2 number, since 2×10529645282 = 2217468594452525568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1052964528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052964527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5523 + ... + 46221.

It is an arithmetic number, because the mean of its divisors is an integer number (28766760).

Almost surely, 21052964528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052964528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726005600).

1052964528 is an abundant number, since it is smaller than the sum of its proper divisors (2399046672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1052964528 is a wasteful number, since it uses less digits than its factorization.

1052964528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40735 (or 40722 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1052964528 is about 32449.4149099795. The cubic root of 1052964528 is about 1017.3520089343.

It can be divided in two parts, 10529 and 64528, that added together give a palindrome (75057).

The spelling of 1052964528 in words is "one billion, fifty-two million, nine hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 40699 81398 122097 162796 244194 284893 325592 447689 488388 569786 651184 854679 895378 976776 1139572 1343067 1709358 1790756 1953552 1994251 2279144 2686134 3133823 3418716 3581512 3988502 4558288 5372268 5982753 6267646 6837432 7163024 7977004 9401469 10744536 11965506 12535292 13674864 15954008 18802938 21489072 21936761 23931012 25070584 31908016 37605876 43873522 47862024 50141168 65810283 75211752 87747044 95724048 131620566 150423504 175494088 263241132 350988176 526482264 1052964528