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499130368 = 2131129191
BaseRepresentation
bin11101110000000…
…010000000000000
31021210012110010221
4131300002000000
52010234132433
6121310032424
715240352402
oct3560020000
91253173127
10499130368
11236823040
1211b1a8714
137c53c319
144a40ab72
152dc4572d
hex1dc02000

499130368 has 112 divisors (see below), whose sum is σ = 1132392960. Its totient is φ = 217907200.

The previous prime is 499130347. The next prime is 499130393. The reversal of 499130368 is 863031994.

It is a super-2 number, since 2×4991303682 = 498262248519630848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2613153 + ... + 2613343.

Almost surely, 2499130368 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 499130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566196480).

499130368 is an abundant number, since it is smaller than the sum of its proper divisors (633262592).

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

499130368 is a wasteful number, since it uses less digits than its factorization.

499130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 499130368 is about 22341.2257497211. The cubic root of 499130368 is about 793.2401073671.

The spelling of 499130368 in words is "four hundred ninety-nine million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 191 232 256 319 352 382 464 512 638 704 764 928 1024 1276 1408 1528 1856 2048 2101 2552 2816 3056 3712 4096 4202 5104 5539 5632 6112 7424 8192 8404 10208 11078 11264 12224 14848 16808 20416 22156 22528 24448 29696 33616 40832 44312 45056 48896 59392 60929 67232 81664 88624 90112 97792 118784 121858 134464 163328 177248 195584 237568 243716 268928 326656 354496 391168 487432 537856 653312 708992 782336 974864 1075712 1306624 1417984 1564672 1949728 2151424 2613248 2835968 3899456 4302848 5671936 7798912 8605696 11343872 15597824 17211392 22687744 31195648 45375488 62391296 124782592 249565184 499130368