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53141184 = 26361767
BaseRepresentation
bin1100101010110…
…1111011000000
310200222212000000
43022231323000
5102101004214
65135000000
71213456365
oct312557300
9120885000
1053141184
1127aa6838
1215969000
13b0180b5
1470b446c
1549ea809
hex32adec0

53141184 has 196 divisors, whose sum is σ = 169904664. Its totient is φ = 16422912.

The previous prime is 53141177. The next prime is 53141189. The reversal of 53141184 is 48114135.

It is a happy number.

53141184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53141189) 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 27 ways as a sum of consecutive naturals, for example, 793119 + ... + 793185.

Almost surely, 253141184 is an apocalyptic number.

53141184 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 53141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84952332).

53141184 is an abundant number, since it is smaller than the sum of its proper divisors (116763480).

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

53141184 is an equidigital number, since it uses as much as digits as its factorization.

53141184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 53141184 is about 7289.7999972564. The cubic root of 53141184 is about 375.9618189690.

The spelling of 53141184 in words is "fifty-three million, one hundred forty-one thousand, one hundred eighty-four".