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53137536 = 273711949
BaseRepresentation
bin1100101010110…
…1000010000000
310200222122222220
43022231002000
5102100400121
65134531040
71213442634
oct312550200
9120878886
1053137536
1127aa4021
1215966a80
13b01653a
1470b2dc4
1549e96c6
hex32ad080

53137536 has 64 divisors (see below), whose sum is σ = 143208000. Its totient is φ = 17454080.

The previous prime is 53137519. The next prime is 53137549. The reversal of 53137536 is 63573135.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (28350) is a multiple of the sum of its prime divisors (2025).

It is a junction number, because it is equal to n+sod(n) for n = 53137497 and 53137506.

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, 26290 + ... + 28238.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 253137536 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 53137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71604000).

53137536 is an abundant number, since it is smaller than the sum of its proper divisors (90070464).

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

53137536 is a wasteful number, since it uses less digits than its factorization.

53137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2025 counting only the distinct ones).

The product of its digits is 28350, while the sum is 33.

The square root of 53137536 is about 7289.5497803362. The cubic root of 53137536 is about 375.9532158480.

The spelling of 53137536 in words is "fifty-three million, one hundred thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 1949 2272 3408 3898 4544 5847 6816 7796 9088 11694 13632 15592 23388 27264 31184 46776 62368 93552 124736 138379 187104 249472 276758 374208 415137 553516 748416 830274 1107032 1660548 2214064 3321096 4428128 6642192 8856256 13284384 17712512 26568768 53137536