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23249376 = 253371379
BaseRepresentation
bin101100010110…
…0000111100000
31121202012011000
41120230013200
521422440001
62150152000
7401421303
oct130540740
947665130
1023249376
111213a667
127952600
134a80437
143132b3a
152093a86
hex162c1e0

23249376 has 96 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 7620480.

The previous prime is 23249371. The next prime is 23249383. The reversal of 23249376 is 67394232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23249376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23249371) 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, 61155 + ... + 61533.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 223249376 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 23249376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

23249376 is an abundant number, since it is smaller than the sum of its proper divisors (45697824).

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

23249376 is a wasteful number, since it uses less digits than its factorization.

23249376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 23249376 is about 4821.7606742766. The cubic root of 23249376 is about 285.4108202708.

23249376 divided by its sum of digits (36) gives a triangular number (645816 = T1136).

The spelling of 23249376 in words is "twenty-three million, two hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 379 426 432 568 639 758 852 864 1136 1137 1278 1516 1704 1917 2272 2274 2556 3032 3408 3411 3834 4548 5112 6064 6816 6822 7668 9096 10224 10233 12128 13644 15336 18192 20448 20466 26909 27288 30672 36384 40932 53818 54576 61344 80727 81864 107636 109152 161454 163728 215272 242181 322908 327456 430544 484362 645816 726543 861088 968724 1291632 1453086 1937448 2583264 2906172 3874896 5812344 7749792 11624688 23249376