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52735720 = 2356121613
BaseRepresentation
bin1100100100101…
…0111011101000
310200020020210211
43021022323220
5102000020340
65122150504
71210150312
oct311127350
9120206724
1052735720
112784a144
12157b2434
13ac0568b
14700a7b2
15496a5ea
hex324aee8

52735720 has 32 divisors (see below), whose sum is σ = 120606120. Its totient is φ = 20747520.

The previous prime is 52735703. The next prime is 52735721. The reversal of 52735720 is 2753725.

52735720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45239076 + 7496644 = 6726^2 + 2738^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52735721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8367 + ... + 13246.

Almost surely, 252735720 is an apocalyptic number.

It is an amenable number.

52735720 is an abundant number, since it is smaller than the sum of its proper divisors (67870400).

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

52735720 is a wasteful number, since it uses less digits than its factorization.

52735720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21685 (or 21681 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 52735720 is about 7261.9363808835. The cubic root of 52735720 is about 375.0031881210.

The spelling of 52735720 in words is "fifty-two million, seven hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 21613 43226 86452 108065 172904 216130 432260 864520 1318393 2636786 5273572 6591965 10547144 13183930 26367860 52735720