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495662076 = 2232713712131
BaseRepresentation
bin11101100010110…
…011001111111100
31021112200020112200
4131202303033330
52003342141301
6121103431500
715166025640
oct3542631774
91245606480
10495662076
11234874288
12119bb5590
137b8c6790
1449b86c20
152d7acc86
hex1d8b33fc

495662076 has 144 divisors (see below), whose sum is σ = 1564512768. Its totient is φ = 128822400.

The previous prime is 495662071. The next prime is 495662107. The reversal of 495662076 is 670266594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495662071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231531 + ... + 233661.

It is an arithmetic number, because the mean of its divisors is an integer number (10864672).

Almost surely, 2495662076 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 495662076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782256384).

495662076 is an abundant number, since it is smaller than the sum of its proper divisors (1068850692).

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

495662076 is a wasteful number, since it uses less digits than its factorization.

495662076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 495662076 is about 22263.4695409318. The cubic root of 495662076 is about 791.3985140843.

The spelling of 495662076 in words is "four hundred ninety-five million, six hundred sixty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 71 78 84 91 117 126 142 156 182 213 234 252 273 284 364 426 468 497 546 639 819 852 923 994 1092 1278 1491 1638 1846 1988 2131 2556 2769 2982 3276 3692 4262 4473 5538 5964 6393 6461 8307 8524 8946 11076 12786 12922 14917 16614 17892 19179 19383 25572 25844 27703 29834 33228 38358 38766 44751 55406 58149 59668 76716 77532 83109 89502 110812 116298 134253 151301 166218 179004 193921 232596 249327 268506 302602 332436 387842 453903 498654 537012 581763 605204 775684 907806 997308 1059107 1163526 1361709 1745289 1815612 1966913 2118214 2327052 2723418 3177321 3490578 3933826 4236428 5446836 5900739 6354642 6981156 7867652 9531963 11801478 12709284 13768391 17702217 19063926 23602956 27536782 35404434 38127852 41305173 55073564 70808868 82610346 123915519 165220692 247831038 495662076