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496287864 = 233311320333
BaseRepresentation
bin11101100101001…
…100000001111000
31021120212000222000
4131211030001320
52004022202424
6121125101000
715204243252
oct3545140170
91246760860
10496287864
11235161466
1211a257760
137ba85577
1449caacd2
152d8833c9
hex1d94c078

496287864 has 64 divisors (see below), whose sum is σ = 1390845600. Its totient is φ = 163957248.

The previous prime is 496287863. The next prime is 496287871. The reversal of 496287864 is 468782694.

496287864 is a `hidden beast` number, since 4 + 9 + 628 + 7 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 496287864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496287863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14242 + ... + 34574.

Almost surely, 2496287864 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 496287864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695422800).

496287864 is an abundant number, since it is smaller than the sum of its proper divisors (894557736).

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

496287864 is a wasteful number, since it uses less digits than its factorization.

496287864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20451 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 496287864 is about 22277.5192514786. The cubic root of 496287864 is about 791.7314286792.

The spelling of 496287864 in words is "four hundred ninety-six million, two hundred eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 20333 24408 40666 60999 81332 121998 162664 182997 243996 365994 487992 548991 731988 1097982 1463976 2195964 2297629 4391928 4595258 6892887 9190516 13785774 18381032 20678661 27571548 41357322 55143096 62035983 82714644 124071966 165429288 248143932 496287864