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25057920 = 273531421
BaseRepresentation
bin101111110010…
…1101010000000
31202011002000010
41133211222000
522403323140
62253024520
7422663106
oct137455200
952132003
1025057920
1113165428
128485140
135264694
143483c76
1522ee880
hex17e5a80

25057920 has 128 divisors (see below), whose sum is σ = 82644480. Its totient is φ = 6451200.

The previous prime is 25057883. The next prime is 25057937. The reversal of 25057920 is 2975052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 59310 + ... + 59730.

It is an arithmetic number, because the mean of its divisors is an integer number (645660).

Almost surely, 225057920 is an apocalyptic number.

25057920 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 25057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41322240).

25057920 is an abundant number, since it is smaller than the sum of its proper divisors (57586560).

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

25057920 is a wasteful number, since it uses less digits than its factorization.

25057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 25057920 is about 5005.7886491541. The cubic root of 25057920 is about 292.6274118014.

The spelling of 25057920 in words is "twenty-five million, fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 421 465 480 496 620 640 744 842 930 960 992 1240 1263 1488 1684 1860 1920 1984 2105 2480 2526 2976 3368 3720 3968 4210 4960 5052 5952 6315 6736 7440 8420 9920 10104 11904 12630 13051 13472 14880 16840 19840 20208 25260 26102 26944 29760 33680 39153 40416 50520 52204 53888 59520 65255 67360 78306 80832 101040 104408 130510 134720 156612 161664 195765 202080 208816 261020 269440 313224 391530 404160 417632 522040 626448 783060 808320 835264 1044080 1252896 1566120 1670528 2088160 2505792 3132240 4176320 5011584 6264480 8352640 12528960 25057920