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1052247252 = 223729461937
BaseRepresentation
bin111110101110000…
…000010011010100
32201022222200212110
4332232000103110
54123333403002
6252225151020
735034645150
oct7656002324
92638880773
101052247252
1149aa69a31
1225448b470
1313a001414
149da6c060
15625a1e6c
hex3eb804d4

1052247252 has 96 divisors (see below), whose sum is σ = 2912152320. Its totient is φ = 289336320.

The previous prime is 1052247239. The next prime is 1052247257. The reversal of 1052247252 is 2527422501.

It is a super-2 number, since 2×10522472522 = 2214448558683103008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052247257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122528 + ... + 1123464.

It is an arithmetic number, because the mean of its divisors is an integer number (30334920).

Almost surely, 21052247252 is an apocalyptic number.

1052247252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052247252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456076160).

1052247252 is an abundant number, since it is smaller than the sum of its proper divisors (1859905068).

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

1052247252 is a wasteful number, since it uses less digits than its factorization.

1052247252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1052247252 is about 32438.3608093874. The cubic root of 1052247252 is about 1017.1209508383.

Adding to 1052247252 its reverse (2527422501), we get a palindrome (3579669753).

The spelling of 1052247252 in words is "one billion, fifty-two million, two hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 461 609 812 922 937 1218 1383 1844 1874 2436 2766 2811 3227 3748 5532 5622 6454 6559 9681 11244 12908 13118 13369 19362 19677 26236 26738 27173 38724 39354 40107 53476 54346 78708 80214 81519 93583 108692 160428 163038 187166 190211 280749 326076 374332 380422 431957 561498 570633 760844 863914 1122996 1141266 1295871 1727828 2282532 2591742 3023699 5183484 6047398 9071097 12094796 12526753 18142194 25053506 36284388 37580259 50107012 75160518 87687271 150321036 175374542 263061813 350749084 526123626 1052247252