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25392972 = 22311474093
BaseRepresentation
bin110000011011…
…1011101001100
31202210002121110
41200313131030
523000033342
62304132020
7425556663
oct140673514
952702543
1025392972
1113374130
128607010
135351037
14352ddda
152368c9c
hex183774c

25392972 has 48 divisors (see below), whose sum is σ = 66028032. Its totient is φ = 7529280.

The previous prime is 25392959. The next prime is 25393001. The reversal of 25392972 is 27929352.

It is a self number, because there is not a number n which added to its sum of digits gives 25392972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4158 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (1375584).

Almost surely, 225392972 is an apocalyptic number.

25392972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25392972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014016).

25392972 is an abundant number, since it is smaller than the sum of its proper divisors (40635060).

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

25392972 is a wasteful number, since it uses less digits than its factorization.

25392972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4156 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 25392972 is about 5039.1439749227. The cubic root of 25392972 is about 293.9258918215.

It can be divided in two parts, 25392 and 972, that multiplied together give a square (24681024 = 49682).

The spelling of 25392972 in words is "twenty-five million, three hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 4093 6204 8186 12279 16372 24558 45023 49116 90046 135069 180092 192371 270138 384742 540276 577113 769484 1154226 2116081 2308452 4232162 6348243 8464324 12696486 25392972