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23955048 = 23331319449
BaseRepresentation
bin101101101100…
…0011001101000
31200002001011000
41123120121220
522113030143
62213235000
7410420535
oct133303150
950061130
1023955048
1112581867
128032a60
134c696b0
143277d8c
152182bd3
hex16d8668

23955048 has 128 divisors (see below), whose sum is σ = 75600000. Its totient is φ = 6967296.

The previous prime is 23955047. The next prime is 23955089. The reversal of 23955048 is 84055932.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23955047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53128 + ... + 53576.

It is an arithmetic number, because the mean of its divisors is an integer number (590625).

Almost surely, 223955048 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 23955048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800000).

23955048 is an abundant number, since it is smaller than the sum of its proper divisors (51644952).

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

23955048 is a wasteful number, since it uses less digits than its factorization.

23955048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 23955048 is about 4894.3894409824. The cubic root of 23955048 is about 288.2697126125.

The spelling of 23955048 in words is "twenty-three million, nine hundred fifty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 449 456 468 494 513 684 702 741 898 936 988 1026 1347 1368 1404 1482 1796 1976 2052 2223 2694 2808 2964 3592 4041 4104 4446 5388 5837 5928 6669 8082 8531 8892 10776 11674 12123 13338 16164 17062 17511 17784 23348 24246 25593 26676 32328 34124 35022 46696 48492 51186 52533 53352 68248 70044 76779 96984 102372 105066 110903 140088 153558 157599 204744 210132 221806 230337 307116 315198 332709 420264 443612 460674 614232 630396 665418 887224 921348 998127 1260792 1330836 1842696 1996254 2661672 2994381 3992508 5988762 7985016 11977524 23955048