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25628320 = 255315167
BaseRepresentation
bin110000111000…
…0111010100000
31210020001110001
41201300322200
523030101240
62313145344
7430560064
oct141607240
953201401
1025628320
1113514a33
1286bb254
1354041b3
143591aa4
1523b389a
hex1870ea0

25628320 has 48 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 9918720.

The previous prime is 25628303. The next prime is 25628341. The reversal of 25628320 is 2382652.

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, 2377 + ... + 7543.

It is an arithmetic number, because the mean of its divisors is an integer number (1302336).

Almost surely, 225628320 is an apocalyptic number.

25628320 is a gapful number since it is divisible by the number (20) 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 25628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

25628320 is an abundant number, since it is smaller than the sum of its proper divisors (36883808).

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

25628320 is a wasteful number, since it uses less digits than its factorization.

25628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25628320 is about 5062.4420984343. The cubic root of 25628320 is about 294.8311587697.

The spelling of 25628320 in words is "twenty-five million, six hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 5167 10334 20668 25835 41336 51670 82672 103340 160177 165344 206680 320354 413360 640708 800885 826720 1281416 1601770 2562832 3203540 5125664 6407080 12814160 25628320