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232896448 = 262924327
BaseRepresentation
bin11011110000110…
…11011111000000
3121020020100212101
431320123133000
5434110141243
635035440144
75525405251
oct1570333700
9536210771
10232896448
1110a511604
1265bb6054
1339334765
1422d06b28
15156a654d
hexde1b7c0

232896448 has 42 divisors (see below), whose sum is σ = 478750376. Its totient is φ = 112406784.

The previous prime is 232896439. The next prime is 232896449. The reversal of 232896448 is 844698232.

It is a junction number, because it is equal to n+sod(n) for n = 232896398 and 232896407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232896449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51661 + ... + 55987.

Almost surely, 2232896448 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 232896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239375188).

232896448 is an abundant number, since it is smaller than the sum of its proper divisors (245853928).

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

232896448 is an equidigital number, since it uses as much as digits as its factorization.

232896448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4358 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 232896448 is about 15260.9451869797. The cubic root of 232896448 is about 615.2537767738.

The spelling of 232896448 in words is "two hundred thirty-two million, eight hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 4327 6728 8654 13456 17308 26912 34616 53824 69232 125483 138464 250966 276928 501932 1003864 2007728 3639007 4015456 7278014 8030912 14556028 29112056 58224112 116448224 232896448