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1052712624 = 243176121149
BaseRepresentation
bin111110101111110…
…001111010110000
32201100212100020110
4332233301322300
54123443300444
6252243141320
735041624005
oct7657617260
92640770213
101052712624
114a0257637
12254674840
1313a1351a2
149db4d8ac
1562644cb9
hex3ebf1eb0

1052712624 has 80 divisors (see below), whose sum is σ = 2926821600. Its totient is φ = 324833280.

The previous prime is 1052712623. The next prime is 1052712629. The reversal of 1052712624 is 4262172501.

It is a super-2 number, since 2×10527126242 = 2216407737457930752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052712591 and 1052712600.

It is not an unprimeable number, because it can be changed into a prime (1052712623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39202 + ... + 60350.

It is an arithmetic number, because the mean of its divisors is an integer number (36585270).

Almost surely, 21052712624 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 1052712624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463410800).

1052712624 is an abundant number, since it is smaller than the sum of its proper divisors (1874108976).

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

1052712624 is a wasteful number, since it uses less digits than its factorization.

1052712624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1052712624 is about 32445.5331902559. The cubic root of 1052712624 is about 1017.2708743621.

The spelling of 1052712624 in words is "one billion, fifty-two million, seven hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 366 408 488 732 816 976 1037 1464 2074 2928 3111 4148 6222 8296 12444 16592 21149 24888 42298 49776 63447 84596 126894 169192 253788 338384 359533 507576 719066 1015152 1078599 1290089 1438132 2157198 2580178 2876264 3870267 4314396 5160356 5752528 7740534 8628792 10320712 15481068 17257584 20641424 21931513 30962136 43863026 61924272 65794539 87726052 131589078 175452104 263178156 350904208 526356312 1052712624