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536076504 = 233217225763
BaseRepresentation
bin11111111100111…
…110000011011000
31101100201111201100
4133330332003120
52044213422004
6125105551400
716166401155
oct3774760330
91340644640
10536076504
11255668237
1212b645560
13870a6b42
14512a722c
15320e2739
hex1ff3e0d8

536076504 has 72 divisors (see below), whose sum is σ = 1542361860. Its totient is φ = 168174336.

The previous prime is 536076493. The next prime is 536076523. The reversal of 536076504 is 405670635.

536076504 is a `hidden beast` number, since 536 + 0 + 76 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 17 ways as a sum of consecutive naturals, for example, 7927 + ... + 33689.

Almost surely, 2536076504 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 536076504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771180930).

536076504 is an abundant number, since it is smaller than the sum of its proper divisors (1006285356).

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

536076504 is a wasteful number, since it uses less digits than its factorization.

536076504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25809 (or 25785 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 536076504 is about 23153.3259813790. The cubic root of 536076504 is about 812.3482655983.

The spelling of 536076504 in words is "five hundred thirty-six million, seventy-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 25763 51526 77289 103052 154578 206104 231867 309156 437971 463734 618312 875942 927468 1313913 1751884 1854936 2627826 3503768 3941739 5255652 7445507 7883478 10511304 14891014 15766956 22336521 29782028 31533912 44673042 59564056 67009563 89346084 134019126 178692168 268038252 536076504