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53452944 = 24322811321
BaseRepresentation
bin1100101111101…
…0000010010000
310201120200122200
43023322002100
5102140443234
65145403200
71216225326
oct313720220
9121520580
1053452944
1128199a96
1215a99500
13b0c6c7c
147155d16
154a5cd99
hex32fa090

53452944 has 60 divisors (see below), whose sum is σ = 150240012. Its totient is φ = 17740800.

The previous prime is 53452891. The next prime is 53452957. The reversal of 53452944 is 44925435.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 9734400 = 6612^2 + 3120^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53452899 and 53452908.

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 11 ways as a sum of consecutive naturals, for example, 39804 + ... + 41124.

Almost surely, 253452944 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 53452944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75120006).

53452944 is an abundant number, since it is smaller than the sum of its proper divisors (96787068).

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

53452944 is a wasteful number, since it uses less digits than its factorization.

53452944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53452944 is about 7311.1520296052. The cubic root of 53452944 is about 376.6955963196.

The spelling of 53452944 in words is "fifty-three million, four hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1321 1686 2248 2529 2642 3372 3963 4496 5058 5284 6744 7926 10116 10568 11889 13488 15852 20232 21136 23778 31704 40464 47556 63408 95112 190224 371201 742402 1113603 1484804 2227206 2969608 3340809 4454412 5939216 6681618 8908824 13363236 17817648 26726472 53452944