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5356368 = 24344133
BaseRepresentation
bin10100011011101101010000
3101002010120000
4110123231100
52332400433
6310450000
763346143
oct24335520
911063500
105356368
113029356
121963900
131157064
149d605a
1570c113
hex51bb50

5356368 has 50 divisors (see below), whose sum is σ = 15506634. Its totient is φ = 1785024.

The previous prime is 5356357. The next prime is 5356399. The reversal of 5356368 is 8636535.

5356368 is a `hidden beast` number, since 535 + 63 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 374544 = 2232^2 + 612^2 .

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 (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 771 + ... + 3362.

Almost surely, 25356368 is an apocalyptic number.

It is an amenable number.

5356368 is an abundant number, since it is smaller than the sum of its proper divisors (10150266).

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

5356368 is a wasteful number, since it uses less digits than its factorization.

5356368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4138 counting only the distinct ones).

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

The square root of 5356368 is about 2314.3828551041. The cubic root of 5356368 is about 174.9672646252.

It can be divided in two parts, 535 and 6368, that added together give a triangular number (6903 = T117).

The spelling of 5356368 in words is "five million, three hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4133 8266 12399 16532 24798 33064 37197 49596 66128 74394 99192 111591 148788 198384 223182 297576 334773 446364 595152 669546 892728 1339092 1785456 2678184 5356368