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628640025 = 352131722397
BaseRepresentation
bin100101011110000…
…100100100011001
31121210220012222220
4211132010210121
52241412440100
6142213534253
721402231516
oct4536044431
91553805886
10628640025
112a293a612
12156644389
13a0315860
145d6c030d
153a2c8aa0
hex25784919

628640025 has 144 divisors (see below), whose sum is σ = 1253503104. Its totient is φ = 275742720.

The previous prime is 628640021. The next prime is 628640039. The reversal of 628640025 is 520046826.

It is not a de Polignac number, because 628640025 - 22 = 628640021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (628640021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6480777 + ... + 6480873.

Almost surely, 2628640025 is an apocalyptic number.

628640025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

628640025 is a deficient number, since it is larger than the sum of its proper divisors (624863079).

628640025 is a wasteful number, since it uses less digits than its factorization.

628640025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 628640025 is about 25072.6948092940. The cubic root of 628640025 is about 856.6445894745.

The spelling of 628640025 in words is "six hundred twenty-eight million, six hundred forty thousand, twenty-five".

Divisors: 1 3 5 13 15 17 23 25 39 51 65 69 75 85 97 115 195 221 255 289 291 299 325 345 391 425 485 575 663 867 897 975 1105 1173 1261 1275 1445 1455 1495 1649 1725 1955 2231 2425 3315 3757 3783 4335 4485 4947 5083 5525 5865 6305 6647 6693 7225 7275 7475 8245 9775 11155 11271 15249 16575 18785 18915 19941 21437 21675 22425 24735 25415 28033 29003 29325 31525 33235 33465 37927 41225 55775 56355 64311 76245 84099 86411 87009 93925 94575 99705 107185 113781 123675 127075 140165 145015 166175 167325 189635 259233 281775 321555 364429 381225 420495 432055 435045 493051 498525 535925 568905 644759 700825 725075 948175 1093287 1296165 1479153 1607775 1822145 1934277 2102475 2160275 2175225 2465255 2844525 3223795 5466435 6480825 7395765 8381867 9110725 9671385 12326275 16118975 25145601 27332175 36978825 41909335 48356925 125728005 209546675 628640025