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561226536 = 233313269743
BaseRepresentation
bin100001011100111…
…010001100101000
31110010001021002000
4201130322030220
52122133222121
6131405011000
716623226653
oct4134721450
91403037060
10561226536
11268885892
12137b53a60
138c371410
145477289a
153440e526
hex2173a328

561226536 has 128 divisors (see below), whose sum is σ = 1687392000. Its totient is φ = 171811584.

The previous prime is 561226513. The next prime is 561226543. The reversal of 561226536 is 635622165.

It is a happy number.

561226536 is a `hidden beast` number, since 5 + 612 + 2 + 6 + 5 + 36 = 666.

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 561226536.

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 31 ways as a sum of consecutive naturals, for example, 754981 + ... + 755723.

It is an arithmetic number, because the mean of its divisors is an integer number (13182750).

Almost surely, 2561226536 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 561226536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

561226536 is an abundant number, since it is smaller than the sum of its proper divisors (1126165464).

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

561226536 is a wasteful number, since it uses less digits than its factorization.

561226536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 561226536 is about 23690.2202606899. The cubic root of 561226536 is about 824.8583955309.

The spelling of 561226536 in words is "five hundred sixty-one million, two hundred twenty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 269 312 351 468 538 702 743 807 936 1076 1404 1486 1614 2152 2229 2421 2808 2972 3228 3497 4458 4842 5944 6456 6687 6994 7263 8916 9659 9684 10491 13374 13988 14526 17832 19318 19368 20061 20982 26748 27976 28977 29052 31473 38636 40122 41964 53496 57954 58104 62946 77272 80244 83928 86931 94419 115908 125892 160488 173862 188838 199867 231816 251784 260793 347724 377676 399734 521586 599601 695448 755352 799468 1043172 1199202 1598936 1798803 2086344 2398404 2598271 3597606 4796808 5196542 5396409 7195212 7794813 10393084 10792818 14390424 15589626 20786168 21585636 23384439 31179252 43171272 46768878 62358504 70153317 93537756 140306634 187075512 280613268 561226536