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23468544 = 293211463
BaseRepresentation
bin101100110000…
…1101000000000
31122011022210100
41121201220000
522001443134
62155002400
7403323261
oct131415000
948138710
1023468544
111227a2a0
127a39400
134b29118
14318c968
1520d8999
hex1661a00

23468544 has 120 divisors (see below), whose sum is σ = 74048832. Its totient is φ = 7096320.

The previous prime is 23468539. The next prime is 23468561. The reversal of 23468544 is 44586432.

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

It is a junction number, because it is equal to n+sod(n) for n = 23468499 and 23468508.

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, 50457 + ... + 50919.

Almost surely, 223468544 is an apocalyptic number.

23468544 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 23468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37024416).

23468544 is an abundant number, since it is smaller than the sum of its proper divisors (50580288).

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

23468544 is a wasteful number, since it uses less digits than its factorization.

23468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 23468544 is about 4844.4343323034. The cubic root of 23468544 is about 286.3048569249.

The spelling of 23468544 in words is "twenty-three million, four hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 463 512 528 576 704 768 792 926 1056 1152 1389 1408 1536 1584 1852 2112 2304 2778 2816 3168 3704 4167 4224 4608 5093 5556 5632 6336 7408 8334 8448 10186 11112 12672 14816 15279 16668 16896 20372 22224 25344 29632 30558 33336 40744 44448 45837 50688 59264 61116 66672 81488 88896 91674 118528 122232 133344 162976 177792 183348 237056 244464 266688 325952 355584 366696 488928 533376 651904 711168 733392 977856 1066752 1303808 1466784 1955712 2133504 2607616 2933568 3911424 5867136 7822848 11734272 23468544