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25128480 = 2535134027
BaseRepresentation
bin101111111011…
…0111000100000
31202021122210110
41133312320200
522413102410
62254331320
7423405606
oct137667040
952248713
1025128480
1113203443
1284b9b40
13528a830
1434a1876
152315720
hex17f6e20

25128480 has 96 divisors (see below), whose sum is σ = 85264704. Its totient is φ = 6183936.

The previous prime is 25128479. The next prime is 25128487. The reversal of 25128480 is 8482152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×251284802 = 1262881014220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25128487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4227 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (888174).

Almost surely, 225128480 is an apocalyptic number.

25128480 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 25128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42632352).

25128480 is an abundant number, since it is smaller than the sum of its proper divisors (60136224).

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

25128480 is a wasteful number, since it uses less digits than its factorization.

25128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 25128480 is about 5012.8315351705. The cubic root of 25128480 is about 292.9018219134.

The spelling of 25128480 in words is "twenty-five million, one hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 4027 6240 8054 12081 16108 20135 24162 32216 40270 48324 52351 60405 64432 80540 96648 104702 120810 128864 157053 161080 193296 209404 241620 261755 314106 322160 386592 418808 483240 523510 628212 644320 785265 837616 966480 1047020 1256424 1570530 1675232 1932960 2094040 2512848 3141060 4188080 5025696 6282120 8376160 12564240 25128480