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25412064 = 253318539
BaseRepresentation
bin110000011110…
…0000111100000
31202211001210120
41200330013200
523001141224
62304400240
7425666436
oct140740740
952731716
1025412064
1113387507
128616080
135359932
143536d56
15236e779
hex183c1e0

25412064 has 48 divisors (see below), whose sum is σ = 68866560. Its totient is φ = 8196480.

The previous prime is 25412029. The next prime is 25412089. The reversal of 25412064 is 46021452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×254120643 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294 + ... + 7245.

It is an arithmetic number, because the mean of its divisors is an integer number (1434720).

Almost surely, 225412064 is an apocalyptic number.

25412064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25412064 is an abundant number, since it is smaller than the sum of its proper divisors (43454496).

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

25412064 is a wasteful number, since it uses less digits than its factorization.

25412064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25412064 is about 5041.0379883512. The cubic root of 25412064 is about 293.9995372291. Note that the first 3 decimals are identical.

The spelling of 25412064 in words is "twenty-five million, four hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 8539 17078 25617 34156 51234 68312 102468 136624 204936 264709 273248 409872 529418 794127 819744 1058836 1588254 2117672 3176508 4235344 6353016 8470688 12706032 25412064