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96270252 = 2231317311171
BaseRepresentation
bin1011011110011…
…11011110101100
320201011000221220
411233033132230
5144121122002
613315223340
72246166201
oct557173654
9221130856
1096270252
114a3842a1
12282a7b50
1316c38c60
14caddca8
1586b97bc
hex5bcf7ac

96270252 has 96 divisors (see below), whose sum is σ = 264628224. Its totient is φ = 26956800.

The previous prime is 96270233. The next prime is 96270253. The reversal of 96270252 is 25207269.

It is a happy number.

It is a super-2 number, since 2×962702522 = 18535922840287008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96270253) 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, 81627 + ... + 82797.

It is an arithmetic number, because the mean of its divisors is an integer number (2756544).

Almost surely, 296270252 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 96270252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132314112).

96270252 is an abundant number, since it is smaller than the sum of its proper divisors (168357972).

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

96270252 is a wasteful number, since it uses less digits than its factorization.

96270252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 96270252 is about 9811.7405183790. The cubic root of 96270252 is about 458.3149629515.

The spelling of 96270252 in words is "ninety-six million, two hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1171 1209 1326 1581 1612 2108 2342 2418 2652 3162 3513 4684 4836 6324 6851 7026 13702 14052 15223 19907 20553 27404 30446 36301 39814 41106 45669 59721 60892 72602 79628 82212 91338 108903 119442 145204 182676 217806 238884 258791 435612 471913 517582 617117 776373 943826 1035164 1234234 1415739 1552746 1851351 1887652 2468468 2831478 3105492 3702702 5662956 7405404 8022521 16045042 24067563 32090084 48135126 96270252