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495672760 = 2351119211281
BaseRepresentation
bin11101100010110…
…101110110111000
31021112200210012101
4131202311312320
52003343012020
6121103553144
715166102042
oct3542656670
91245623171
10495672760
11234881310
12119bbb7b4
137b8cb5bb
1449b8aa92
152d7b100a
hex1d8b5db8

495672760 has 128 divisors (see below), whose sum is σ = 1291334400. Its totient is φ = 169344000.

The previous prime is 495672719. The next prime is 495672809. The reversal of 495672760 is 67276594.

It is a self number, because there is not a number n which added to its sum of digits gives 495672760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763820 + ... + 1764100.

It is an arithmetic number, because the mean of its divisors is an integer number (10088550).

Almost surely, 2495672760 is an apocalyptic number.

495672760 is a gapful number since it is divisible by the number (40) 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 495672760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645667200).

495672760 is an abundant number, since it is smaller than the sum of its proper divisors (795661640).

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

495672760 is a wasteful number, since it uses less digits than its factorization.

495672760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 495672760 is about 22263.7094842706. The cubic root of 495672760 is about 791.4042002439.

The spelling of 495672760 in words is "four hundred ninety-five million, six hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 211 220 281 380 418 422 440 562 760 836 844 1045 1055 1124 1405 1672 1688 2090 2110 2248 2321 2810 3091 4009 4180 4220 4642 5339 5620 6182 8018 8360 8440 9284 10678 11240 11605 12364 15455 16036 18568 20045 21356 23210 24728 26695 30910 32072 40090 42712 44099 46420 53390 58729 59291 61820 80180 88198 92840 106780 117458 118582 123640 160360 176396 213560 220495 234916 237164 293645 296455 352792 440990 469832 474328 587290 592910 652201 881980 1126529 1174580 1185820 1304402 1763960 2253058 2349160 2371640 2608804 3261005 4506116 5217608 5632645 6522010 9012232 11265290 12391819 13044020 22530580 24783638 26088040 45061160 49567276 61959095 99134552 123918190 247836380 495672760