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53713536 = 273433253
BaseRepresentation
bin1100110011100…
…1101010000000
310202001221010020
43030321222000
5102222313121
65155133440
71221362142
oct314715200
9122057106
1053713536
1128357858
1215ba4280
13b188776
1471c2c92
154ab01c6
hex3339a80

53713536 has 64 divisors (see below), whose sum is σ = 146039520. Its totient is φ = 17482752.

The previous prime is 53713519. The next prime is 53713571. The reversal of 53713536 is 63531735.

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

It is a junction number, because it is equal to n+sod(n) for n = 53713497 and 53713506.

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 7 ways as a sum of consecutive naturals, for example, 14886 + ... + 18138.

Almost surely, 253713536 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 53713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73019760).

53713536 is an abundant number, since it is smaller than the sum of its proper divisors (92325984).

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

53713536 is a wasteful number, since it uses less digits than its factorization.

53713536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3301 counting only the distinct ones).

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

The square root of 53713536 is about 7328.9519032396. The cubic root of 53713536 is about 377.3067554716.

The spelling of 53713536 in words is "fifty-three million, seven hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 3253 4128 5504 6506 8256 9759 13012 16512 19518 26024 39036 52048 78072 104096 139879 156144 208192 279758 312288 416384 419637 559516 624576 839274 1119032 1249152 1678548 2238064 3357096 4476128 6714192 8952256 13428384 17904512 26856768 53713536