Base | Representation |
---|---|
bin | 1000101100111… |
… | …0011010011100 |
3 | 2112200020112200 |
4 | 2023032122130 |
5 | 33320401202 |
6 | 3342131500 |
7 | 622135254 |
oct | 213163234 |
9 | 75606480 |
10 | 36497052 |
11 | 19668859 |
12 | 10280b90 |
13 | 773b2b7 |
14 | 4bc0964 |
15 | 330de1c |
hex | 22ce69c |
36497052 has 72 divisors (see below), whose sum is σ = 96008640. Its totient is φ = 11681280.
The previous prime is 36497047. The next prime is 36497063. The reversal of 36497052 is 25079463.
36497052 is a `hidden beast` number, since 3 + 649 + 7 + 0 + 5 + 2 = 666.
36497052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 36496998 and 36497016.
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 23 ways as a sum of consecutive naturals, for example, 116448 + ... + 116760.
Almost surely, 236497052 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 36497052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48004320).
36497052 is an abundant number, since it is smaller than the sum of its proper divisors (59511588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36497052 is a wasteful number, since it uses less digits than its factorization.
36497052 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 438 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 36497052 is about 6041.2790036548. The cubic root of 36497052 is about 331.7054410644.
It can be divided in two parts, 3649 and 7052, that added together give a palindrome (10701).
The spelling of 36497052 in words is "thirty-six million, four hundred ninety-seven thousand, fifty-two".
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