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499741056 = 2733236287
BaseRepresentation
bin11101110010010…
…111000110000000
31021211100110212000
4131302113012000
52010413203211
6121331104000
715245505003
oct3562270600
91254313760
10499741056
112370aa941
1211b442000
137c6c4289
144a52953a
152dd16656
hex1dc97180

499741056 has 128 divisors (see below), whose sum is σ = 1539302400. Its totient is φ = 159312384.

The previous prime is 499741043. The next prime is 499741069. The reversal of 499741056 is 650147994.

It is an interprime number because it is at equal distance from previous prime (499741043) and next prime (499741069).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4997410562 = 499482246103990272, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76345 + ... + 82631.

It is an arithmetic number, because the mean of its divisors is an integer number (12025800).

Almost surely, 2499741056 is an apocalyptic number.

499741056 is a gapful number since it is divisible by the number (46) 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 499741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769651200).

499741056 is an abundant number, since it is smaller than the sum of its proper divisors (1039561344).

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

499741056 is a wasteful number, since it uses less digits than its factorization.

499741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 499741056 is about 22354.8888612760. Note that the first 4 decimals coincide. The cubic root of 499741056 is about 793.5634863316.

The spelling of 499741056 in words is "four hundred ninety-nine million, seven hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6287 6624 8832 9936 12574 13248 18861 19872 25148 26496 37722 39744 50296 56583 75444 79488 100592 113166 144601 150888 169749 201184 226332 289202 301776 339498 402368 433803 452664 578404 603552 678996 804736 867606 905328 1156808 1207104 1301409 1357992 1735212 1810656 2313616 2414208 2602818 2715984 3470424 3621312 3904227 4627232 5205636 5431968 6940848 7242624 7808454 9254464 10411272 10863936 13881696 15616908 18508928 20822544 21727872 27763392 31233816 41645088 55526784 62467632 83290176 124935264 166580352 249870528 499741056