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495375504 = 24313279773
BaseRepresentation
bin11101100001101…
…101010010010000
31021112010200102220
4131201231102100
52003304004004
6121053341040
715163423311
oct3541552220
91245120386
10495375504
11234698a48
12119a97780
137b826200
1449b10608
152d752dd9
hex1d86d490

495375504 has 120 divisors (see below), whose sum is σ = 1405088640. Its totient is φ = 150299136.

The previous prime is 495375497. The next prime is 495375527. The reversal of 495375504 is 405573594.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 640462 + ... + 641234.

It is an arithmetic number, because the mean of its divisors is an integer number (11709072).

Almost surely, 2495375504 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 495375504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702544320).

495375504 is an abundant number, since it is smaller than the sum of its proper divisors (909713136).

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

495375504 is a wasteful number, since it uses less digits than its factorization.

495375504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 495375504 is about 22257.0326863219. The cubic root of 495375504 is about 791.2459663524.

The spelling of 495375504 in words is "four hundred ninety-five million, three hundred seventy-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 169 208 237 312 316 338 474 507 624 632 676 773 948 1014 1027 1264 1352 1546 1896 2028 2054 2319 2704 3081 3092 3792 4056 4108 4638 6162 6184 8112 8216 9276 10049 12324 12368 13351 16432 18552 20098 24648 26702 30147 37104 40053 40196 49296 53404 60294 61067 80106 80392 106808 120588 122134 130637 160212 160784 183201 213616 241176 244268 261274 320424 366402 391911 482352 488536 522548 640848 732804 783822 793871 977072 1045096 1465608 1567644 1587742 2090192 2381613 2931216 3135288 3175484 4763226 6270576 6350968 9526452 10320323 12701936 19052904 20640646 30960969 38105808 41281292 61921938 82562584 123843876 165125168 247687752 495375504