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25428900 = 22352712109
BaseRepresentation
bin110000100000…
…0001110100100
31202211220220010
41201000032210
523002211100
62305010220
7426066510
oct141001644
952756803
1025428900
1113399122
128623970
1353644b3
14353d140
152374750
hex18403a4

25428900 has 72 divisors (see below), whose sum is σ = 84091840. Its totient is φ = 5811840.

The previous prime is 25428881. The next prime is 25428917. The reversal of 25428900 is 982452.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955 + ... + 8154.

Almost surely, 225428900 is an apocalyptic number.

25428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25428900 is an abundant number, since it is smaller than the sum of its proper divisors (58662940).

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

25428900 is a wasteful number, since it uses less digits than its factorization.

25428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 25428900 is about 5042.7076060386. The cubic root of 25428900 is about 294.0644497513.

The spelling of 25428900 in words is "twenty-five million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 12109 24218 36327 48436 60545 72654 84763 121090 145308 169526 181635 242180 254289 302725 339052 363270 423815 508578 605450 726540 847630 908175 1017156 1210900 1271445 1695260 1816350 2119075 2542890 3632700 4238150 5085780 6357225 8476300 12714450 25428900