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564435036 = 2232116472203
BaseRepresentation
bin100001101001001…
…001100001011100
31110100002021022100
4201221021201130
52123443410121
6132001445100
716662422124
oct4151114134
91410067270
10564435036
1126a677440
12139040790
138cc25939
1454d69c84
1534845026
hex21a4985c

564435036 has 72 divisors (see below), whose sum is σ = 1559585664. Its totient is φ = 170699040.

The previous prime is 564435029. The next prime is 564435041. The reversal of 564435036 is 630534465.

564435036 is a `hidden beast` number, since 5 + 644 + 3 + 5 + 0 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255111 + ... + 257313.

It is an arithmetic number, because the mean of its divisors is an integer number (21660912).

Almost surely, 2564435036 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 564435036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779792832).

564435036 is an abundant number, since it is smaller than the sum of its proper divisors (995150628).

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

564435036 is a wasteful number, since it uses less digits than its factorization.

564435036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 564435036 is about 23757.8415686274. The cubic root of 564435036 is about 826.4272989610.

It can be divided in two parts, 564 and 435036, that added together give a square (435600 = 6602).

The spelling of 564435036 in words is "five hundred sixty-four million, four hundred thirty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 647 1294 1941 2203 2588 3882 4406 5823 6609 7117 7764 8812 11646 13218 14234 19827 21351 23292 24233 26436 28468 39654 42702 48466 64053 72699 79308 85404 96932 128106 145398 218097 256212 290796 436194 872388 1425341 2850682 4276023 5701364 8552046 12828069 15678751 17104092 25656138 31357502 47036253 51312276 62715004 94072506 141108759 188145012 282217518 564435036