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496871064 = 233371179181
BaseRepresentation
bin11101100111011…
…010011010011000
31021121221122222000
4131213122122120
52004144333224
6121145401000
715212222454
oct3547323230
91247848860
10496871064
1123551a648
1211a499160
137bc2ab61
1449dbd664
152d94b0c9
hex1d9da698

496871064 has 128 divisors (see below), whose sum is σ = 1415232000. Its totient is φ = 161481600.

The previous prime is 496871059. The next prime is 496871077. The reversal of 496871064 is 460178694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745054 + ... + 2745234.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2496871064 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 496871064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

496871064 is an abundant number, since it is smaller than the sum of its proper divisors (918360936).

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

496871064 is a wasteful number, since it uses less digits than its factorization.

496871064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 496871064 is about 22290.6048370160. The cubic root of 496871064 is about 792.0414349305.

The spelling of 496871064 in words is "four hundred ninety-six million, eight hundred seventy-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 179 181 213 216 284 358 362 426 537 543 568 639 716 724 852 1074 1086 1278 1432 1448 1611 1629 1704 1917 2148 2172 2556 3222 3258 3834 4296 4344 4833 4887 5112 6444 6516 7668 9666 9774 12709 12851 12888 13032 15336 19332 19548 25418 25702 32399 38127 38553 38664 39096 50836 51404 64798 76254 77106 97197 101672 102808 114381 115659 129596 152508 154212 194394 228762 231318 259192 291591 305016 308424 343143 346977 388788 457524 462636 583182 686286 693954 777576 874773 915048 925272 1166364 1372572 1387908 1749546 2300329 2332728 2745144 2775816 3499092 4600658 6900987 6998184 9201316 13801974 18402632 20702961 27603948 41405922 55207896 62108883 82811844 124217766 165623688 248435532 496871064