Base | Representation |
---|---|
bin | 1001001010110001… |
… | …1101111100000000 |
3 | 20100112001101100100 |
4 | 2102230131330000 |
5 | 20020022133441 |
6 | 1044114322400 |
7 | 114663156366 |
oct | 22254357400 |
9 | 6315041310 |
10 | 2461130496 |
11 | 1053275850 |
12 | 588289400 |
13 | 302b70346 |
14 | 194c13636 |
15 | e60edcb6 |
hex | 92b1df00 |
2461130496 has 324 divisors, whose sum is σ = 8200384920. Its totient is φ = 703918080.
The previous prime is 2461130471. The next prime is 2461130519. The reversal of 2461130496 is 6940311642.
2461130496 is a `hidden beast` number, since 2 + 4 + 611 + 30 + 4 + 9 + 6 = 666.
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 2461130496.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9149050 + ... + 9149318.
It is an arithmetic number, because the mean of its divisors is an integer number (25309830).
Almost surely, 22461130496 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 2461130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100192460).
2461130496 is an abundant number, since it is smaller than the sum of its proper divisors (5739254424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2461130496 is a wasteful number, since it uses less digits than its factorization.
2461130496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 340 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 2461130496 is about 49609.7822611630. The cubic root of 2461130496 is about 1350.1381652829.
The spelling of 2461130496 in words is "two billion, four hundred sixty-one million, one hundred thirty thousand, four hundred ninety-six".
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