Base | Representation |
---|---|
bin | 1000110011101… |
… | …0001100000000 |
3 | 2120111200002110 |
4 | 2030322030000 |
5 | 33424012441 |
6 | 3355415320 |
7 | 625654260 |
oct | 214721400 |
9 | 76450073 |
10 | 36938496 |
11 | 1993a491 |
12 | 10454540 |
13 | 78641ca |
14 | 4c977a0 |
15 | 3399b16 |
hex | 233a300 |
36938496 has 72 divisors (see below), whose sum is σ = 112370944. Its totient is φ = 10552320.
The previous prime is 36938491. The next prime is 36938513. The reversal of 36938496 is 69483963.
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36938491) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1941 + ... + 8811.
Almost surely, 236938496 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 36938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56185472).
36938496 is an abundant number, since it is smaller than the sum of its proper divisors (75432448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36938496 is an equidigital number, since it uses as much as digits as its factorization.
36938496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6897 (or 6883 counting only the distinct ones).
The product of its digits is 839808, while the sum is 48.
The square root of 36938496 is about 6077.7048299502. The cubic root of 36938496 is about 333.0374476549.
The spelling of 36938496 in words is "thirty-six million, nine hundred thirty-eight thousand, four hundred ninety-six".
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