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53292720 = 243513192931
BaseRepresentation
bin1100101101001…
…0111010110000
310201021112212110
43023102322300
5102120331340
65142125320
71214660235
oct313227260
9121245773
1053292720
112809a678
1215a20840
13b06c070
14711378c
154a2a680
hex32d2eb0

53292720 has 320 divisors, whose sum is σ = 199987200. Its totient is φ = 11612160.

The previous prime is 53292667. The next prime is 53292731. The reversal of 53292720 is 2729235.

It is a happy number.

53292720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×532927202 = 5680228009996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1719105 + ... + 1719135.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 253292720 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 53292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

53292720 is an abundant number, since it is smaller than the sum of its proper divisors (146694480).

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

53292720 is a wasteful number, since it uses less digits than its factorization.

53292720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 53292720 is about 7300.1862989926. The cubic root of 53292720 is about 376.3188407645.

The spelling of 53292720 in words is "fifty-three million, two hundred ninety-two thousand, seven hundred twenty".