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456313460 = 22522815673
BaseRepresentation
bin11011001100101…
…100101001110100
31011210122010101112
4123030230221310
51413304012320
6113140214152
714210412641
oct3314545164
91153563345
10456313460
11214639069
1210899a358
13736ca585
1444862dc8
152a0d8ec5
hex1b32ca74

456313460 has 12 divisors (see below), whose sum is σ = 958258308. Its totient is φ = 182525376.

The previous prime is 456313433. The next prime is 456313469. The reversal of 456313460 is 64313654.

It can be written as a sum of positive squares in 2 ways, for example, as 329930896 + 126382564 = 18164^2 + 11242^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456313469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11407817 + ... + 11407856.

It is an arithmetic number, because the mean of its divisors is an integer number (79854859).

Almost surely, 2456313460 is an apocalyptic number.

It is an amenable number.

456313460 is an abundant number, since it is smaller than the sum of its proper divisors (501944848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456313460 is a wasteful number, since it uses less digits than its factorization.

456313460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22815682 (or 22815680 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 456313460 is about 21361.4947978834. The cubic root of 456313460 is about 769.8765529878.

The spelling of 456313460 in words is "four hundred fifty-six million, three hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 22815673 45631346 91262692 114078365 228156730 456313460