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25130048 = 264161157
BaseRepresentation
bin101111111011…
…1010001000000
31202021201221112
41133313101000
522413130143
62254342452
7423413306
oct137672100
952251845
1025130048
1113204639
1284baa28
13528b468
1434a2276
152315e18
hex17f7440

25130048 has 56 divisors (see below), whose sum is σ = 52251864. Its totient is φ = 11980800.

The previous prime is 25130033. The next prime is 25130051. The reversal of 25130048 is 84003152.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 22963264 = 1472^2 + 4792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159986 + ... + 160142.

It is an arithmetic number, because the mean of its divisors is an integer number (933069).

Almost surely, 225130048 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 25130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26125932).

25130048 is an abundant number, since it is smaller than the sum of its proper divisors (27121816).

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

25130048 is a wasteful number, since it uses less digits than its factorization.

25130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 25130048 is about 5012.9879313639. The cubic root of 25130048 is about 292.9079140779.

The spelling of 25130048 in words is "twenty-five million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 157 164 244 314 328 488 628 656 976 1256 1312 1952 2501 2512 2624 3904 5002 5024 6437 9577 10004 10048 12874 19154 20008 25748 38308 40016 51496 76616 80032 102992 153232 160064 205984 306464 392657 411968 612928 785314 1570628 3141256 6282512 12565024 25130048