Search a number
-
+
25106496 = 263433041
BaseRepresentation
bin101111111000…
…1100001000000
31202020112122020
41133301201000
522411401441
62254041440
7423254532
oct137614100
952215566
1025106496
1113198978
1284a9280
13528081c
143497852
15230de66
hex17f1840

25106496 has 56 divisors (see below), whose sum is σ = 67994784. Its totient is φ = 8171520.

The previous prime is 25106383. The next prime is 25106509. The reversal of 25106496 is 69460152.

It is a super-2 number, since 2×251064962 = 1260672282796032, which contains 22 as substring.

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, 6736 + ... + 9776.

Almost surely, 225106496 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 25106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997392).

25106496 is an abundant number, since it is smaller than the sum of its proper divisors (42888288).

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

25106496 is a wasteful number, since it uses less digits than its factorization.

25106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 25106496 is about 5010.6382826941. The cubic root of 25106496 is about 292.8163805820.

The spelling of 25106496 in words is "twenty-five million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 3041 4128 6082 8256 9123 12164 18246 24328 36492 48656 72984 97312 130763 145968 194624 261526 291936 392289 523052 583872 784578 1046104 1569156 2092208 3138312 4184416 6276624 8368832 12553248 25106496