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23482944 = 263259691
BaseRepresentation
bin101100110010…
…1001001000000
31122012001112200
41121211021000
522002423234
62155153200
7403413252
oct131451100
948161480
1023482944
111228a0a1
127a45800
134b32844
143193cd2
1520dcd99
hex1665240

23482944 has 84 divisors (see below), whose sum is σ = 68549520. Its totient is φ = 7683840.

The previous prime is 23482937. The next prime is 23482957. The reversal of 23482944 is 44928432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55296) is a multiple of the sum of its prime factors (768).

It is a junction number, because it is equal to n+sod(n) for n = 23482899 and 23482908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33639 + ... + 34329.

Almost surely, 223482944 is an apocalyptic number.

23482944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34274760).

23482944 is an abundant number, since it is smaller than the sum of its proper divisors (45066576).

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

23482944 is a wasteful number, since it uses less digits than its factorization.

23482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23482944 is about 4845.9203460230. The cubic root of 23482944 is about 286.3634026247.

The spelling of 23482944 in words is "twenty-three million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 691 708 944 1062 1382 1416 1888 2073 2124 2764 2832 3776 4146 4248 5528 5664 6219 8292 8496 11056 11328 12438 16584 16992 22112 24876 33168 33984 40769 44224 49752 66336 81538 99504 122307 132672 163076 199008 244614 326152 366921 398016 489228 652304 733842 978456 1304608 1467684 1956912 2609216 2935368 3913824 5870736 7827648 11741472 23482944