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23625472 = 281331229
BaseRepresentation
bin101101000011…
…1111100000000
31122110022001111
41122013330000
522022003342
62202213104
7404545633
oct132077400
948408044
1023625472
1112377192
127ab4194
134b82690
1431cdc1a
15211a217
hex1687f00

23625472 has 72 divisors (see below), whose sum is σ = 52653440. Its totient is φ = 10506240.

The previous prime is 23625467. The next prime is 23625487. The reversal of 23625472 is 27452632.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103054 + ... + 103282.

Almost surely, 223625472 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 23625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26326720).

23625472 is an abundant number, since it is smaller than the sum of its proper divisors (29027968).

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

23625472 is a wasteful number, since it uses less digits than its factorization.

23625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 23625472 is about 4860.6040776842. The cubic root of 23625472 is about 286.9415883100.

The spelling of 23625472 in words is "twenty-three million, six hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 229 248 256 403 416 458 496 806 832 916 992 1612 1664 1832 1984 2977 3224 3328 3664 3968 5954 6448 7099 7328 7936 11908 12896 14198 14656 23816 25792 28396 29312 47632 51584 56792 58624 92287 95264 103168 113584 184574 190528 227168 369148 381056 454336 738296 762112 908672 1476592 1817344 2953184 5906368 11812736 23625472