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25795872 = 2532432083
BaseRepresentation
bin110001001100…
…1110100100000
31210112120021200
41202121310200
523100431442
62320521200
7432155424
oct142316440
953476250
1025795872
1113619903
128780200
13546253b
1435d6b84
1523e834c
hex1899d20

25795872 has 72 divisors (see below), whose sum is σ = 75099024. Its totient is φ = 8394624.

The previous prime is 25795843. The next prime is 25795873. The reversal of 25795872 is 27859752.

It is a happy number.

25795872 is a `hidden beast` number, since 2 + 579 + 5 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (25795873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11343 + ... + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (1043042).

Almost surely, 225795872 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 25795872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37549512).

25795872 is an abundant number, since it is smaller than the sum of its proper divisors (49303152).

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

25795872 is a wasteful number, since it uses less digits than its factorization.

25795872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2131 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 25795872 is about 5078.9636738217. The cubic root of 25795872 is about 295.4722761660.

The spelling of 25795872 in words is "twenty-five million, seven hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 2083 3096 4128 4166 6192 6249 8332 12384 12498 16664 18747 24996 33328 37494 49992 66656 74988 89569 99984 149976 179138 199968 268707 299952 358276 537414 599904 716552 806121 1074828 1433104 1612242 2149656 2866208 3224484 4299312 6448968 8598624 12897936 25795872