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25428960 = 2532517659
BaseRepresentation
bin110000100000…
…0001111100000
31202211220222100
41201000033200
523002211320
62305010400
7426066624
oct141001740
952756870
1025428960
1113399177
128623a00
13536452b
14353d184
152374790
hex18403e0

25428960 has 72 divisors (see below), whose sum is σ = 86781240. Its totient is φ = 6780672.

The previous prime is 25428947. The next prime is 25428971. The reversal of 25428960 is 6982452.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (1205295).

Almost surely, 225428960 is an apocalyptic number.

25428960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25428960 is an abundant number, since it is smaller than the sum of its proper divisors (61352280).

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

25428960 is a wasteful number, since it uses less digits than its factorization.

25428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17680 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 25428960 is about 5042.7135552200. The cubic root of 25428960 is about 294.0646810348.

The spelling of 25428960 in words is "twenty-five million, four hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 17659 35318 52977 70636 88295 105954 141272 158931 176590 211908 264885 282544 317862 353180 423816 529770 565088 635724 706360 794655 847632 1059540 1271448 1412720 1589310 1695264 2119080 2542896 2825440 3178620 4238160 5085792 6357240 8476320 12714480 25428960