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25563136 = 212792
BaseRepresentation
bin110000110000…
…1000000000000
31210002202000211
41201201000000
523021010021
62311523504
7430166044
oct141410000
953082024
1025563136
111347aa65
128689594
1353b0621
143576024
15239e3e1
hex1861000

25563136 has 39 divisors (see below), whose sum is σ = 51775311. Its totient is φ = 12619776.

The previous prime is 25563079. The next prime is 25563137. The reversal of 25563136 is 63136552.

The square root of 25563136 is 5056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (16200) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 25563098 and 25563107.

It is not an unprimeable number, because it can be changed into a prime (25563137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 323545 + ... + 323623.

Almost surely, 225563136 is an apocalyptic number.

25563136 is the 5056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25563136

25563136 is an abundant number, since it is smaller than the sum of its proper divisors (26212175).

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

25563136 is an frugal number, since it uses more digits than its factorization.

25563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 81 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The cubic root of 25563136 is about 294.5809851232.

Adding to 25563136 its reverse (63136552), we get a palindrome (88699688).

The spelling of 25563136 in words is "twenty-five million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2048 2528 4096 5056 6241 10112 12482 20224 24964 40448 49928 80896 99856 161792 199712 323584 399424 798848 1597696 3195392 6390784 12781568 25563136