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625152640 = 2757472969
BaseRepresentation
bin100101010000110…
…001001010000000
31121120100001012111
4211100301022000
52240014341030
6142011105104
721330465310
oct4520611200
91546301174
10625152640
112a0978482
12155442194
139c694408
145d053440
1539d3a62a
hex25431280

625152640 has 128 divisors (see below), whose sum is σ = 1744934400. Its totient is φ = 209707008.

The previous prime is 625152637. The next prime is 625152653. The reversal of 625152640 is 46251526.

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

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, 209076 + ... + 212044.

It is an arithmetic number, because the mean of its divisors is an integer number (13632300).

Almost surely, 2625152640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872467200).

625152640 is an abundant number, since it is smaller than the sum of its proper divisors (1119781760).

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

625152640 is a wasteful number, since it uses less digits than its factorization.

625152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 625152640 is about 25003.0526136310. The cubic root of 625152640 is about 855.0575705338.

The spelling of 625152640 in words is "six hundred twenty-five million, one hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 280 320 329 376 448 470 560 640 658 752 896 940 1120 1316 1504 1645 1880 2240 2632 2969 3008 3290 3760 4480 5264 5938 6016 6580 7520 10528 11876 13160 14845 15040 20783 21056 23752 26320 29690 30080 41566 42112 47504 52640 59380 83132 95008 103915 105280 118760 139543 166264 190016 207830 210560 237520 279086 332528 380032 415660 475040 558172 665056 697715 831320 950080 976801 1116344 1330112 1395430 1662640 1900160 1953602 2232688 2660224 2790860 3325280 3907204 4465376 4884005 5581720 6650560 7814408 8930752 9768010 11163440 13301120 15628816 17861504 19536020 22326880 31257632 39072040 44653760 62515264 78144080 89307520 125030528 156288160 312576320 625152640