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5356764 = 2232729733
BaseRepresentation
bin10100011011110011011100
3101002011002200
4110123303130
52332404024
6310451500
763350250
oct24336334
911064080
105356764
113029686
121963b90
1311572aa
149d6260
1570c2c9
hex51bcdc

5356764 has 72 divisors (see below), whose sum is σ = 16030560. Its totient is φ = 1475712.

The previous prime is 5356739. The next prime is 5356783. The reversal of 5356764 is 4676535.

5356764 is a `hidden beast` number, since 535 + 67 + 64 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6942 + ... + 7674.

Almost surely, 25356764 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 5356764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015280).

5356764 is an abundant number, since it is smaller than the sum of its proper divisors (10673796).

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

5356764 is a wasteful number, since it uses less digits than its factorization.

5356764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

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

The square root of 5356764 is about 2314.4684054875. The cubic root of 5356764 is about 174.9715763360.

The spelling of 5356764 in words is "five million, three hundred fifty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 733 812 1044 1218 1466 1827 2199 2436 2932 3654 4398 5131 6597 7308 8796 10262 13194 15393 20524 21257 26388 30786 42514 46179 61572 63771 85028 92358 127542 148799 184716 191313 255084 297598 382626 446397 595196 765252 892794 1339191 1785588 2678382 5356764