Base | Representation |
---|---|
bin | 1001111110101… |
… | …01111000000000 |
3 | 12211112002101100 |
4 | 10333111320000 |
5 | 132412313121 |
6 | 12150134400 |
7 | 2034360534 |
oct | 477257000 |
9 | 184462340 |
10 | 83713536 |
11 | 43288245 |
12 | 24051400 |
13 | 1446074a |
14 | b191bc4 |
15 | 7539026 |
hex | 4fd5e00 |
83713536 has 120 divisors (see below), whose sum is σ = 248638104. Its totient is φ = 27095040.
The previous prime is 83713493. The next prime is 83713543. The reversal of 83713536 is 63531738.
It is a super-2 number, since 2×837135362 = 14015912219246592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 83713536.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170251 + ... + 170741.
Almost surely, 283713536 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 83713536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124319052).
83713536 is an abundant number, since it is smaller than the sum of its proper divisors (164924568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83713536 is a wasteful number, since it uses less digits than its factorization.
83713536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 552 (or 533 counting only the distinct ones).
The product of its digits is 45360, while the sum is 36.
The square root of 83713536 is about 9149.5101508223. The cubic root of 83713536 is about 437.4534999286.
The spelling of 83713536 in words is "eighty-three million, seven hundred thirteen thousand, five hundred thirty-six".
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