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631525248 = 2734173583
BaseRepresentation
bin100101101001000…
…100111110000000
31122000022210210000
4211221010332000
52243132301443
6142355440000
721435606324
oct4551047600
91560283700
10631525248
112a45302a2
121575b6000
13a0ab5ba3
145dc31984
153a6988d3
hex25a44f80

631525248 has 160 divisors (see below), whose sum is σ = 1990517760. Its totient is φ = 198070272.

The previous prime is 631525243. The next prime is 631525259. The reversal of 631525248 is 842525136.

It is a super-2 number, since 2×6315252482 = 797648277722923008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631525241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174465 + ... + 178047.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2631525248 is an apocalyptic number.

631525248 is a gapful number since it is divisible by the number (68) 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 631525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

631525248 is an abundant number, since it is smaller than the sum of its proper divisors (1358992512).

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

631525248 is a wasteful number, since it uses less digits than its factorization.

631525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3605 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 631525248 is about 25130.1660957503. The cubic root of 631525248 is about 857.9531491851.

The spelling of 631525248 in words is "six hundred thirty-one million, five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3583 3672 4896 5184 5508 6528 7166 7344 9792 10368 10749 11016 14332 14688 19584 21498 22032 28664 29376 32247 42996 44064 57328 58752 60911 64494 85992 88128 96741 114656 121822 128988 171984 176256 182733 193482 229312 243644 257976 290223 343968 365466 386964 458624 487288 515952 548199 580446 687936 730932 773928 974576 1031904 1096398 1160892 1375872 1461864 1547856 1644597 1949152 2063808 2192796 2321784 2923728 3095712 3289194 3898304 4127616 4385592 4643568 4933791 5847456 6191424 6578388 7796608 8771184 9287136 9867582 11694912 12382848 13156776 17542368 18574272 19735164 23389824 26313552 35084736 37148544 39470328 52627104 70169472 78940656 105254208 157881312 210508416 315762624 631525248