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252883388252 = 2211235314931643
BaseRepresentation
bin1110101110000100000…
…1100100011101011100
3220011201212201011012202
43223201001210131130
513120401121411002
6312101212351032
724161454222335
oct3534101443534
9804655634182
10252883388252
119827a097550
1241016175478
131ab015647a1
14c34d74128c
1568a1026502
hex3ae106475c

252883388252 has 96 divisors (see below), whose sum is σ = 516733862400. Its totient is φ = 107147406080.

The previous prime is 252883388249. The next prime is 252883388267.

252883388252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7975943 + ... + 8007585.

It is an arithmetic number, because the mean of its divisors is an integer number (5382644400).

Almost surely, 2252883388252 is an apocalyptic number.

252883388252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252883388252 is an abundant number, since it is smaller than the sum of its proper divisors (263850474148).

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

252883388252 is a wasteful number, since it uses less digits than its factorization.

252883388252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31883 (or 31881 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 56.

The spelling of 252883388252 in words is "two hundred fifty-two billion, eight hundred eighty-three million, three hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 23 44 46 53 92 106 149 212 253 298 506 583 596 1012 1166 1219 1639 2332 2438 3278 3427 4876 6556 6854 7897 13409 13708 15794 26818 31588 31643 37697 53636 63286 75394 86867 126572 150788 173734 181631 347468 348073 363262 696146 726524 727789 1392292 1455578 1677079 1997941 2911156 3354158 3995882 4714807 6708316 7991764 8005679 9429614 16011358 18447869 18859228 32022716 36895738 38572817 51862877 73791476 77145634 103725754 108440561 154291268 207451508 216881122 249884771 424300987 433762244 499769542 848601974 999539084 1192846171 1697203948 2385692342 2748732481 4771384684 5497464962 5747349733 10994929924 11494699466 22989398932 63220847063 126441694126 252883388252