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25393920 = 283517389
BaseRepresentation
bin110000011011…
…1101100000000
31202210010220120
41200313230000
523000101140
62304140240
7425562516
oct140675400
952703816
1025393920
1113374912
128607680
1353515b6
1435304b6
1523691d0
hex1837b00

25393920 has 144 divisors (see below), whose sum is σ = 86093280. Its totient is φ = 6356992.

The previous prime is 25393889. The next prime is 25393939. The reversal of 25393920 is 2939352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65086 + ... + 65474.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 225393920 is an apocalyptic number.

25393920 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 25393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046640).

25393920 is an abundant number, since it is smaller than the sum of its proper divisors (60699360).

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

25393920 is a wasteful number, since it uses less digits than its factorization.

25393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 25393920 is about 5039.2380376402. The cubic root of 25393920 is about 293.9295495038.

The spelling of 25393920 in words is "twenty-five million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 389 408 480 510 544 640 680 768 778 816 960 1020 1088 1167 1280 1360 1556 1632 1920 1945 2040 2176 2334 2720 3112 3264 3840 3890 4080 4352 4668 5440 5835 6224 6528 6613 7780 8160 9336 10880 11670 12448 13056 13226 15560 16320 18672 19839 21760 23340 24896 26452 31120 32640 33065 37344 39678 46680 49792 52904 62240 65280 66130 74688 79356 93360 99195 99584 105808 124480 132260 149376 158712 186720 198390 211616 248960 264520 298752 317424 373440 396780 423232 497920 529040 634848 746880 793560 846464 1058080 1269696 1493760 1587120 1692928 2116160 2539392 3174240 4232320 5078784 6348480 8464640 12696960 25393920