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25232064 = 2631113919
BaseRepresentation
bin110000001000…
…0001011000000
31202110220212220
41200100023000
522424411224
62300451040
7424316604
oct140201300
952426786
1025232064
1113274250
128549a80
1352c5a20
1434cb504
152336279
hex18102c0

25232064 has 112 divisors (see below), whose sum is σ = 78516480. Its totient is φ = 7050240.

The previous prime is 25232027. The next prime is 25232071. The reversal of 25232064 is 46023252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26997 + ... + 27915.

It is an arithmetic number, because the mean of its divisors is an integer number (701040).

Almost surely, 225232064 is an apocalyptic number.

25232064 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 25232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258240).

25232064 is an abundant number, since it is smaller than the sum of its proper divisors (53284416).

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

25232064 is a wasteful number, since it uses less digits than its factorization.

25232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 25232064 is about 5023.1527948093. The cubic root of 25232064 is about 293.3037343871.

The spelling of 25232064 in words is "twenty-five million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 919 1056 1144 1248 1716 1838 2112 2288 2496 2757 3432 3676 4576 5514 6864 7352 9152 10109 11028 11947 13728 14704 20218 22056 23894 27456 29408 30327 35841 40436 44112 47788 58816 60654 71682 80872 88224 95576 121308 131417 143364 161744 176448 191152 242616 262834 286728 323488 382304 394251 485232 525668 573456 646976 764608 788502 970464 1051336 1146912 1577004 1940928 2102672 2293824 3154008 4205344 6308016 8410688 12616032 25232064