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53427136 = 267313847
BaseRepresentation
bin1100101111001…
…1101111000000
310201112101020211
43023303233000
5102134132021
65145043504
71216060150
oct313635700
9121471224
1053427136
1128181664
1215a86594
13b0b82b9
14714a760
154a553e1
hex32f3bc0

53427136 has 56 divisors (see below), whose sum is σ = 125106176. Its totient is φ = 22152960.

The previous prime is 53427119. The next prime is 53427139. The reversal of 53427136 is 63172435.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×534271362 = 5708917722324992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 53427098 and 53427107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53427139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11965 + ... + 15811.

Almost surely, 253427136 is an apocalyptic number.

53427136 is a gapful number since it is divisible by the number (56) 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 53427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553088).

53427136 is an abundant number, since it is smaller than the sum of its proper divisors (71679040).

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

53427136 is a wasteful number, since it uses less digits than its factorization.

53427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3887 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 53427136 is about 7309.3868415894. The cubic root of 53427136 is about 376.6349615242.

The spelling of 53427136 in words is "fifty-three million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 3847 6944 7694 13888 15388 26929 30776 53858 61552 107716 119257 123104 215432 238514 246208 430864 477028 834799 861728 954056 1669598 1723456 1908112 3339196 3816224 6678392 7632448 13356784 26713568 53427136