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25055680 = 2651319317
BaseRepresentation
bin101111110010…
…1000111000000
31202010221221011
41133211013000
522403240210
62253010304
7422653426
oct137450700
952127834
1025055680
1113163781
128483994
135263660
143483116
1522edd8a
hex17e51c0

25055680 has 112 divisors (see below), whose sum is σ = 67848480. Its totient is φ = 8736768.

The previous prime is 25055669. The next prime is 25055711. The reversal of 25055680 is 8655052.

It is a congruent number.

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, 78882 + ... + 79198.

It is an arithmetic number, because the mean of its divisors is an integer number (605790).

Almost surely, 225055680 is an apocalyptic number.

25055680 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 25055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33924240).

25055680 is an abundant number, since it is smaller than the sum of its proper divisors (42792800).

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

25055680 is a wasteful number, since it uses less digits than its factorization.

25055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 25055680 is about 5005.5649031853. The cubic root of 25055680 is about 292.6186919378.

The spelling of 25055680 in words is "twenty-five million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 317 320 380 416 494 520 608 634 760 832 988 1040 1216 1235 1268 1520 1585 1976 2080 2470 2536 3040 3170 3952 4121 4160 4940 5072 6023 6080 6340 7904 8242 9880 10144 12046 12680 15808 16484 19760 20288 20605 24092 25360 30115 32968 39520 41210 48184 50720 60230 65936 78299 79040 82420 96368 101440 120460 131872 156598 164840 192736 240920 263744 313196 329680 385472 391495 481840 626392 659360 782990 963680 1252784 1318720 1565980 1927360 2505568 3131960 5011136 6263920 12527840 25055680