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232542024 = 233111367757
BaseRepresentation
bin11011101110001…
…00111101001000
3121012120100200120
431313010331020
5434012321044
635024103240
75522401041
oct1567047510
9535510616
10232542024
1110a29a2a0
1265a64b20
133923c340
1422c538c8
1515636519
hexddc4f48

232542024 has 64 divisors (see below), whose sum is σ = 683000640. Its totient is φ = 65045760.

The previous prime is 232541993. The next prime is 232542049. The reversal of 232542024 is 420245232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 232541985 and 232542003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30447 + ... + 37310.

It is an arithmetic number, because the mean of its divisors is an integer number (10671885).

Almost surely, 2232542024 is an apocalyptic number.

232542024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232542024 is an abundant number, since it is smaller than the sum of its proper divisors (450458616).

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

232542024 is a wasteful number, since it uses less digits than its factorization.

232542024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67790 (or 67786 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 232542024 is about 15249.3286409599. The cubic root of 232542024 is about 614.9415186641.

Adding to 232542024 its reverse (420245232), we get a palindrome (652787256).

The spelling of 232542024 in words is "two hundred thirty-two million, five hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 67757 135514 203271 271028 406542 542056 745327 813084 880841 1490654 1626168 1761682 2235981 2642523 2981308 3523364 4471962 5285046 5962616 7046728 8943924 9689251 10570092 17887848 19378502 21140184 29067753 38757004 58135506 77514008 116271012 232542024