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25380992 = 277132179
BaseRepresentation
bin110000011010…
…0100010000000
31202202111011202
41200310202000
522444142432
62304000332
7425510030
oct140644200
952674152
1025380992
111336612a
1286000a8
135348750
1435298c0
152365462
hex1834880

25380992 has 64 divisors (see below), whose sum is σ = 62260800. Its totient is φ = 10036224.

The previous prime is 25380991. The next prime is 25381067. The reversal of 25380992 is 29908352.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (25380991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10559 + ... + 12737.

It is an arithmetic number, because the mean of its divisors is an integer number (972825).

Almost surely, 225380992 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 25380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31130400).

25380992 is an abundant number, since it is smaller than the sum of its proper divisors (36879808).

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

25380992 is a wasteful number, since it uses less digits than its factorization.

25380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 25380992 is about 5037.9551407292. The cubic root of 25380992 is about 293.8796613647.

The spelling of 25380992 in words is "twenty-five million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2179 2912 4358 5824 8716 11648 15253 17432 28327 30506 34864 56654 61012 69728 113308 122024 139456 198289 226616 244048 278912 396578 453232 488096 793156 906464 976192 1586312 1812928 1952384 3172624 3625856 6345248 12690496 25380992