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556816540 = 225761113577
BaseRepresentation
bin100001001100000…
…101100010011100
31102210202012200211
4201030011202130
52120021112130
6131130302204
716540601560
oct4114054234
91383665624
10556816540
11266343565
12136587964
138b489057
1453d456a0
1533d3ca2a
hex2130589c

556816540 has 96 divisors (see below), whose sum is σ = 1372662144. Its totient is φ = 185794560.

The previous prime is 556816537. The next prime is 556816541. The reversal of 556816540 is 45618655.

It is a junction number, because it is equal to n+sod(n) for n = 556816493 and 556816502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556816541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964732 + ... + 965308.

It is an arithmetic number, because the mean of its divisors is an integer number (14298564).

Almost surely, 2556816540 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 556816540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686331072).

556816540 is an abundant number, since it is smaller than the sum of its proper divisors (815845604).

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

556816540 is a wasteful number, since it uses less digits than its factorization.

556816540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 556816540 is about 23596.9603974749. The cubic root of 556816540 is about 822.6921924710.

The spelling of 556816540 in words is "five hundred fifty-six million, eight hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 113 122 140 226 244 305 427 452 565 577 610 791 854 1130 1154 1220 1582 1708 2135 2260 2308 2885 3164 3955 4039 4270 5770 6893 7910 8078 8540 11540 13786 15820 16156 20195 27572 34465 35197 40390 48251 65201 68930 70394 80780 96502 130402 137860 140788 175985 193004 241255 246379 260804 326005 351970 456407 482510 492758 652010 703940 912814 965020 985516 1231895 1304020 1825628 2282035 2463790 3977261 4564070 4927580 7954522 9128140 15909044 19886305 27840827 39772610 55681654 79545220 111363308 139204135 278408270 556816540