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53374464 = 29361113
BaseRepresentation
bin1100101110011…
…0111000000000
310201102201000000
43023212320000
5102130440324
65144000000
71215450453
oct313467000
9121381000
1053374464
1128146030
1215a60000
13b09a330
14713549a
154a449c9
hex32e6e00

53374464 has 280 divisors, whose sum is σ = 187847352. Its totient is φ = 14929920.

The previous prime is 53374459. The next prime is 53374483. The reversal of 53374464 is 46447335.

It is a happy number.

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

Its product of digits (120960) is a multiple of the sum of its prime factors (60).

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 27 ways as a sum of consecutive naturals, for example, 4105722 + ... + 4105734.

Almost surely, 253374464 is an apocalyptic number.

53374464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93923676).

53374464 is an abundant number, since it is smaller than the sum of its proper divisors (134472888).

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

53374464 is an equidigital number, since it uses as much as digits as its factorization.

53374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 53374464 is about 7305.7829149243. The cubic root of 53374464 is about 376.5111502864.

It can be divided in two parts, 5337 and 4464, that added together give a square (9801 = 992).

The spelling of 53374464 in words is "fifty-three million, three hundred seventy-four thousand, four hundred sixty-four".