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499975344 = 243211439719
BaseRepresentation
bin11101110011010…
…000010010110000
31021211210101020100
4131303100102300
52010443202334
6121340112400
715250502031
oct3563202260
91254711210
10499975344
1123724a970
1211b535700
137c776acb
144a58aa88
152dd60c99
hex1dcd04b0

499975344 has 120 divisors (see below), whose sum is σ = 1532044800. Its totient is φ = 150952320.

The previous prime is 499975313. The next prime is 499975379. The reversal of 499975344 is 443579994.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 695017 + ... + 695735.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2499975344 is an apocalyptic number.

499975344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499975344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766022400).

499975344 is an abundant number, since it is smaller than the sum of its proper divisors (1032069456).

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

499975344 is a wasteful number, since it uses less digits than its factorization.

499975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 499975344 is about 22360.1284432805. The cubic root of 499975344 is about 793.6874794495.

The spelling of 499975344 in words is "four hundred ninety-nine million, nine hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 439 528 719 792 878 1317 1438 1584 1756 2157 2634 2876 3512 3951 4314 4829 5268 5752 6471 7024 7902 7909 8628 9658 10536 11504 12942 14487 15804 15818 17256 19316 21072 23727 25884 28974 31608 31636 34512 38632 43461 47454 51768 57948 63216 63272 71181 77264 86922 94908 103536 115896 126544 142362 173844 189816 231792 284724 315641 347688 379632 569448 631282 695376 946923 1138896 1262564 1893846 2525128 2840769 3472051 3787692 5050256 5681538 6944102 7575384 10416153 11363076 13888204 15150768 20832306 22726152 27776408 31248459 41664612 45452304 55552816 62496918 83329224 124993836 166658448 249987672 499975344