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25248264 = 23317193257
BaseRepresentation
bin110000001010…
…0001000001000
31202111202002220
41200110020020
522430421024
62301054040
7424415046
oct140241010
952452086
1025248264
1113285438
128557320
135300202
1434d3396
15233ae79
hex1814208

25248264 has 64 divisors (see below), whose sum is σ = 70372800. Its totient is φ = 7501824.

The previous prime is 25248191. The next prime is 25248271. The reversal of 25248264 is 46284252.

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, 6124 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (1099575).

Almost surely, 225248264 is an apocalyptic number.

25248264 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 25248264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35186400).

25248264 is an abundant number, since it is smaller than the sum of its proper divisors (45124536).

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

25248264 is a wasteful number, since it uses less digits than its factorization.

25248264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3298 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 25248264 is about 5024.7650691351. The cubic root of 25248264 is about 293.3664918898.

It can be divided in two parts, 252 and 48264, that added together give a triangular number (48516 = T311).

The spelling of 25248264 in words is "twenty-five million, two hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3257 3876 6514 7752 9771 13028 19542 26056 39084 55369 61883 78168 110738 123766 166107 185649 221476 247532 332214 371298 442952 495064 664428 742596 1052011 1328856 1485192 2104022 3156033 4208044 6312066 8416088 12624132 25248264