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495620064 = 253231431291
BaseRepresentation
bin11101100010101…
…000111111100000
31021112121002220200
4131202220333200
52003334320224
6121102505200
715165462312
oct3542507740
91245532820
10495620064
11234845765
12119b95200
137b8b0614
1449b757b2
152d7a05c9
hex1d8a8fe0

495620064 has 144 divisors (see below), whose sum is σ = 1489872384. Its totient is φ = 156038400.

The previous prime is 495620017. The next prime is 495620089. The reversal of 495620064 is 460026594.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383259 + ... + 384549.

It is an arithmetic number, because the mean of its divisors is an integer number (10346336).

Almost surely, 2495620064 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 495620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744936192).

495620064 is an abundant number, since it is smaller than the sum of its proper divisors (994252320).

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

495620064 is a wasteful number, since it uses less digits than its factorization.

495620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 495620064 is about 22262.5260022307. The cubic root of 495620064 is about 791.3761539755.

The spelling of 495620064 in words is "four hundred ninety-five million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 72 86 93 96 124 129 144 172 186 248 258 279 288 344 372 387 496 516 558 688 744 774 992 1032 1116 1291 1333 1376 1488 1548 2064 2232 2582 2666 2976 3096 3873 3999 4128 4464 5164 5332 6192 7746 7998 8928 10328 10664 11619 11997 12384 15492 15996 20656 21328 23238 23994 30984 31992 40021 41312 42656 46476 47988 55513 61968 63984 80042 92952 95976 111026 120063 123936 127968 160084 166539 185904 191952 222052 240126 320168 333078 360189 371808 383904 444104 480252 499617 640336 666156 720378 888208 960504 999234 1280672 1332312 1440756 1720903 1776416 1921008 1998468 2664624 2881512 3441806 3842016 3996936 5162709 5329248 5763024 6883612 7993872 10325418 11526048 13767224 15488127 15987744 20650836 27534448 30976254 41301672 55068896 61952508 82603344 123905016 165206688 247810032 495620064