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25428832 = 2511135557
BaseRepresentation
bin110000100000…
…0001101100000
31202211220210121
41201000031200
523002210312
62305010024
7426066352
oct141001540
952756717
1025428832
1113399070
128623914
135364460
14353d0d2
152374707
hex1840360

25428832 has 48 divisors (see below), whose sum is σ = 58825872. Its totient is φ = 10667520.

The previous prime is 25428811. The next prime is 25428857. The reversal of 25428832 is 23882452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (1225539).

Almost surely, 225428832 is an apocalyptic number.

25428832 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 25428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412936).

25428832 is an abundant number, since it is smaller than the sum of its proper divisors (33397040).

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

25428832 is a wasteful number, since it uses less digits than its factorization.

25428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5583 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 25428832 is about 5042.7008636246. The cubic root of 25428832 is about 294.0641876296.

The spelling of 25428832 in words is "twenty-five million, four hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 5557 11114 22228 44456 61127 72241 88912 122254 144482 177824 244508 288964 489016 577928 794651 978032 1155856 1589302 1956064 2311712 3178604 6357208 12714416 25428832