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456454056 = 23319018919
BaseRepresentation
bin11011001101001…
…110111110101000
31011210220021020210
4123031032332220
51413323012211
6113143221120
714211536562
oct3315167650
91153807223
10456454056
11214724763
12108a477a0
1373749576
144489c332
152a1159a6
hex1b34efa8

456454056 has 16 divisors (see below), whose sum is σ = 1141135200. Its totient is φ = 152151344.

The previous prime is 456454051. The next prime is 456454057. The reversal of 456454056 is 650454654.

It is a super-2 number, since 2×4564540562 = 416700610477702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456454051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9509436 + ... + 9509483.

It is an arithmetic number, because the mean of its divisors is an integer number (71320950).

Almost surely, 2456454056 is an apocalyptic number.

It is an amenable number.

456454056 is an abundant number, since it is smaller than the sum of its proper divisors (684681144).

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

456454056 is a wasteful number, since it uses less digits than its factorization.

456454056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19018928 (or 19018924 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 456454056 is about 21364.7854190020. The cubic root of 456454056 is about 769.9556144652.

The spelling of 456454056 in words is "four hundred fifty-six million, four hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 19018919 38037838 57056757 76075676 114113514 152151352 228227028 456454056