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97413232 = 24743113179
BaseRepresentation
bin1011100111001…
…10100001110000
320210022002211111
411303212201300
5144414210412
613355523104
72261666410
oct563464160
9223262744
1097413232
114aa95004
1228759494
1317249287
14cd1a640
1588432a7
hex5ce6870

97413232 has 80 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 40190976.

The previous prime is 97413227. The next prime is 97413263. The reversal of 97413232 is 23231479.

It is a junction number, because it is equal to n+sod(n) for n = 97413194 and 97413203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544119 + ... + 544297.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 297413232 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 97413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

97413232 is an abundant number, since it is smaller than the sum of its proper divisors (126501008).

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

97413232 is a wasteful number, since it uses less digits than its factorization.

97413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 97413232 is about 9869.8141826480. The cubic root of 97413232 is about 460.1216313520.

The spelling of 97413232 in words is "ninety-seven million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 113 172 179 226 301 344 358 452 602 688 716 791 904 1204 1253 1432 1582 1808 2408 2506 2864 3164 4816 4859 5012 6328 7697 9718 10024 12656 15394 19436 20048 20227 30788 34013 38872 40454 53879 61576 68026 77744 80908 107758 123152 136052 141589 161816 215516 272104 283178 323632 431032 544208 566356 862064 869761 1132712 1739522 2265424 3479044 6088327 6958088 12176654 13916176 24353308 48706616 97413232