Base | Representation |
---|---|
bin | 1000101000101… |
… | …0000000000000 |
3 | 2112011000011011 |
4 | 2022022000000 |
5 | 33232414312 |
6 | 3332130304 |
7 | 616560301 |
oct | 212120000 |
9 | 75130134 |
10 | 36216832 |
11 | 19497273 |
12 | 10166994 |
13 | 76708a2 |
14 | 4b4a7a8 |
15 | 32a5da7 |
hex | 228a000 |
36216832 has 28 divisors (see below), whose sum is σ = 72445626. Its totient is φ = 18104320.
The previous prime is 36216823. The next prime is 36216841. The reversal of 36216832 is 23861263.
It is an interprime number because it is at equal distance from previous prime (36216823) and next prime (36216841).
It can be written as a sum of positive squares in only one way, i.e., 25563136 + 10653696 = 5056^2 + 3264^2 .
It is a junction number, because it is equal to n+sod(n) for n = 36216794 and 36216803.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5982 + ... + 10402.
Almost surely, 236216832 is an apocalyptic number.
36216832 is a gapful number since it is divisible by the number (32) 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 36216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222813).
36216832 is an abundant number, since it is smaller than the sum of its proper divisors (36228794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36216832 is an frugal number, since it uses more digits than its factorization.
36216832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4447 (or 4423 counting only the distinct ones).
The product of its digits is 10368, while the sum is 31.
The square root of 36216832 is about 6018.0422065652. The cubic root of 36216832 is about 330.8543275167.
The spelling of 36216832 in words is "thirty-six million, two hundred sixteen thousand, eight hundred thirty-two".
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