Base | Representation |
---|---|
bin | 1100100000000… |
… | …0100010000000 |
3 | 10122122202210000 |
4 | 3020000202000 |
5 | 101410242401 |
6 | 5111440000 |
7 | 1204440663 |
oct | 310004200 |
9 | 118582700 |
10 | 52430976 |
11 | 27661194 |
12 | 15686000 |
13 | ab29a60 |
14 | 6d6b6da |
15 | 490a186 |
hex | 3200880 |
52430976 has 160 divisors (see below), whose sum is σ = 168468300. Its totient is φ = 16091136.
The previous prime is 52430971. The next prime is 52430981. The reversal of 52430976 is 67903425.
It is an interprime number because it is at equal distance from previous prime (52430971) and next prime (52430981).
It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 5645376 = 6840^2 + 2376^2 .
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 52430976.
It is not an unprimeable number, because it can be changed into a prime (52430971) by changing a digit.
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 in 19 ways as a sum of consecutive naturals, for example, 134590 + ... + 134978.
Almost surely, 252430976 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 52430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84234150).
52430976 is an abundant number, since it is smaller than the sum of its proper divisors (116037324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52430976 is a wasteful number, since it uses less digits than its factorization.
52430976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 428 (or 407 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 52430976 is about 7240.9236979822. The cubic root of 52430976 is about 374.2794483677.
The spelling of 52430976 in words is "fifty-two million, four hundred thirty thousand, nine hundred seventy-six".
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