Search a number
-
+
456131046 = 23717638839
BaseRepresentation
bin11011001100000…
…000000111100110
31011210021212011110
4123030000013212
51413232143141
6113132245450
714206023060
oct3314000746
91153255143
10456131046
11214524008
12108910886
1373665537
1444816730
152a09ee16
hex1b3001e6

456131046 has 32 divisors (see below), whose sum is σ = 1103915520. Its totient is φ = 122656896.

The previous prime is 456131021. The next prime is 456131059. The reversal of 456131046 is 640131654.

It is a super-2 number, since 2×4561310462 = 416111062250108232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318706 + ... + 320133.

It is an arithmetic number, because the mean of its divisors is an integer number (34497360).

Almost surely, 2456131046 is an apocalyptic number.

456131046 is an abundant number, since it is smaller than the sum of its proper divisors (647784474).

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

456131046 is a wasteful number, since it uses less digits than its factorization.

456131046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638868.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456131046 is about 21357.2246792508. The cubic root of 456131046 is about 769.7739517488.

The spelling of 456131046 in words is "four hundred fifty-six million, one hundred thirty-one thousand, forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 638839 1277678 1916517 3833034 4471873 8943746 10860263 13415619 21720526 26831238 32580789 65161578 76021841 152043682 228065523 456131046