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53380512 = 2533311993
BaseRepresentation
bin1100101110100…
…0010110100000
310201110000022000
43023220112200
5102131134022
65144044000
71215504213
oct313502640
9121400260
1053380512
112814a629
1215a63600
13b0a0003
14713777a
154a466ac
hex32e85a0

53380512 has 96 divisors (see below), whose sum is σ = 160796160. Its totient is φ = 17210880.

The previous prime is 53380507. The next prime is 53380531. The reversal of 53380512 is 21508335.

53380512 is a `hidden beast` number, since 533 + 80 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×533805122 = 5698958122764288, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 25788 + ... + 27780.

It is an arithmetic number, because the mean of its divisors is an integer number (1674960).

Almost surely, 253380512 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 53380512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80398080).

53380512 is an abundant number, since it is smaller than the sum of its proper divisors (107415648).

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

53380512 is a wasteful number, since it uses less digits than its factorization.

53380512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53380512 is about 7306.1968218766. The cubic root of 53380512 is about 376.5253709034.

Adding to 53380512 its reverse (21508335), we get a palindrome (74888847).

The spelling of 53380512 in words is "fifty-three million, three hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 1993 2232 2976 3348 3986 4464 5979 6696 7972 8928 11958 13392 15944 17937 23916 26784 31888 35874 47832 53811 61783 63776 71748 95664 107622 123566 143496 185349 191328 215244 247132 286992 370698 430488 494264 556047 573984 741396 860976 988528 1112094 1482792 1668141 1721952 1977056 2224188 2965584 3336282 4448376 5931168 6672564 8896752 13345128 17793504 26690256 53380512