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53377168 = 2413298849
BaseRepresentation
bin1100101110011…
…1100010010000
310201102211201011
43023213202100
5102131032133
65144020304
71215461365
oct313474220
9121384634
1053377168
1128148069
1215a61694
13b09b630
14713646c
154a456cd
hex32e7890

53377168 has 40 divisors (see below), whose sum is σ = 115227000. Its totient is φ = 23783424.

The previous prime is 53377157. The next prime is 53377183. The reversal of 53377168 is 86177335.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 52012944 = 1168^2 + 7212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53377168.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 10456.

It is an arithmetic number, because the mean of its divisors is an integer number (2880675).

Almost surely, 253377168 is an apocalyptic number.

53377168 is a gapful number since it is divisible by the number (58) 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 53377168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57613500).

53377168 is an abundant number, since it is smaller than the sum of its proper divisors (61849832).

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

53377168 is a wasteful number, since it uses less digits than its factorization.

53377168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8899 (or 8893 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 53377168 is about 7305.9679714600. The cubic root of 53377168 is about 376.5175083141.

The spelling of 53377168 in words is "fifty-three million, three hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 8849 17698 35396 70792 115037 141584 230074 256621 460148 513242 920296 1026484 1840592 2052968 3336073 4105936 6672146 13344292 26688584 53377168