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23482816 = 267234353
BaseRepresentation
bin101100110010…
…1000111000000
31122012001100221
41121211013000
522002422231
62155152424
7403413010
oct131450700
948161327
1023482816
1112289a95
127a45714
134b32776
143193c40
1520dcd11
hex16651c0

23482816 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 9225216.

The previous prime is 23482813. The next prime is 23482817. The reversal of 23482816 is 61828432.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (18432) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23482813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443046 + ... + 443098.

Almost surely, 223482816 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 23482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

23482816 is an abundant number, since it is smaller than the sum of its proper divisors (34453568).

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

23482816 is a wasteful number, since it uses less digits than its factorization.

23482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 23482816 is about 4845.9071390195. The cubic root of 23482816 is about 286.3628823239.

The spelling of 23482816 in words is "twenty-three million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 53 56 64 86 92 106 112 161 172 184 212 224 301 322 344 368 371 424 448 602 644 688 736 742 848 989 1204 1219 1288 1376 1472 1484 1696 1978 2279 2408 2438 2576 2752 2968 3392 3956 4558 4816 4876 5152 5936 6923 7912 8533 9116 9632 9752 10304 11872 13846 15824 15953 17066 18232 19264 19504 23744 27692 31648 31906 34132 36464 39008 52417 55384 63296 63812 68264 72928 78016 104834 110768 127624 136528 145856 209668 221536 255248 273056 366919 419336 443072 510496 546112 733838 838672 1020992 1467676 1677344 2935352 3354688 5870704 11741408 23482816