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497006136 = 233211312653
BaseRepresentation
bin11101100111111…
…011011000111000
31021122012112020200
4131213323120320
52004213144021
6121152322200
715213324324
oct3547733070
91248175220
10497006136
11235602080
1211a543360
137bc77493
144a016984
152d976126
hex1d9fb638

497006136 has 144 divisors (see below), whose sum is σ = 1519647480. Its totient is φ = 145526400.

The previous prime is 497006131. The next prime is 497006173. The reversal of 497006136 is 631600794.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 497006136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497006131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760786 + ... + 761438.

Almost surely, 2497006136 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 497006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759823740).

497006136 is an abundant number, since it is smaller than the sum of its proper divisors (1022641344).

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

497006136 is a wasteful number, since it uses less digits than its factorization.

497006136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 497006136 is about 22293.6344277913. The cubic root of 497006136 is about 792.1131993080.

The spelling of 497006136 in words is "four hundred ninety-seven million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 653 682 744 792 961 1023 1116 1306 1364 1922 1959 2046 2232 2612 2728 2883 3069 3844 3918 4092 5224 5766 5877 6138 7183 7688 7836 8184 8649 10571 11532 11754 12276 14366 15672 17298 20243 21142 21549 23064 23508 24552 28732 31713 34596 40486 42284 43098 47016 57464 60729 63426 64647 69192 80972 84568 86196 95139 121458 126852 129294 161944 172392 182187 190278 222673 242916 253704 258588 364374 380556 445346 485832 517176 627533 668019 728748 761112 890692 1255066 1336038 1457496 1781384 1882599 2004057 2510132 2672076 3765198 4008114 5020264 5344152 5647797 6902863 7530396 8016228 11295594 13805726 15060792 16032456 20708589 22591188 27611452 41417178 45182376 55222904 62125767 82834356 124251534 165668712 248503068 497006136