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25427712 = 283113293
BaseRepresentation
bin110000011111…
…1111100000000
31202211212021010
41200333330000
523002141322
62305000520
7426063162
oct140777400
952755233
1025427712
1113398242
128623140
135363aab
14353c932
15237420c
hex183ff00

25427712 has 72 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 8372224.

The previous prime is 25427711. The next prime is 25427723. The reversal of 25427712 is 21772452.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25427712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25427711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86638 + ... + 86930.

It is an arithmetic number, because the mean of its divisors is an integer number (951482).

Almost surely, 225427712 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 25427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

25427712 is an abundant number, since it is smaller than the sum of its proper divisors (43078992).

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

25427712 is a wasteful number, since it uses less digits than its factorization.

25427712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 25427712 is about 5042.5898108016. The cubic root of 25427712 is about 294.0598702636.

It can be divided in two parts, 254 and 27712, that added together give a triangular number (27966 = T236).

The spelling of 25427712 in words is "twenty-five million, four hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 293 339 384 452 586 678 768 879 904 1172 1356 1758 1808 2344 2712 3516 3616 4688 5424 7032 7232 9376 10848 14064 14464 18752 21696 28128 28928 33109 37504 43392 56256 66218 75008 86784 99327 112512 132436 198654 225024 264872 397308 529744 794616 1059488 1589232 2118976 3178464 4237952 6356928 8475904 12713856 25427712