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25295328 = 25353253
BaseRepresentation
bin110000001111…
…1100111100000
31202121010200000
41200133213200
522433422303
62302100000
7425002212
oct140374740
952533600
1025295328
1113307833
12857a600
135318766
1435065b2
152349da3
hex181f9e0

25295328 has 72 divisors (see below), whose sum is σ = 74620728. Its totient is φ = 8429184.

The previous prime is 25295321. The next prime is 25295341. The reversal of 25295328 is 82359252.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25295292 and 25295301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25295321) 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, 6150 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (1036399).

Almost surely, 225295328 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 25295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310364).

25295328 is an abundant number, since it is smaller than the sum of its proper divisors (49325400).

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

25295328 is an equidigital number, since it uses as much as digits as its factorization.

25295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3258 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 25295328 is about 5029.4460927621. The cubic root of 25295328 is about 293.5486619124.

The spelling of 25295328 in words is "twenty-five million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3253 3888 6506 7776 9759 13012 19518 26024 29277 39036 52048 58554 78072 87831 104096 117108 156144 175662 234216 263493 312288 351324 468432 526986 702648 790479 936864 1053972 1405296 1580958 2107944 2810592 3161916 4215888 6323832 8431776 12647664 25295328