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133490944 = 282917981
BaseRepresentation
bin1111111010011…
…10100100000000
3100022012001011001
413331032210000
5233133202234
621125101344
73210440266
oct775164400
9308161131
10133490944
11693967a4
1238857854
132186b732
1413a2c436
15babcd14
hex7f4e900

133490944 has 36 divisors (see below), whose sum is σ = 275664060. Its totient is φ = 64440320.

The previous prime is 133490927. The next prime is 133490989. The reversal of 133490944 is 449094331.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 21977344 = 10560^2 + 4688^2 .

It is a super-2 number, since 2×1334909442 = 35639664260022272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1567 + ... + 16414.

It is an arithmetic number, because the mean of its divisors is an integer number (7657335).

Almost surely, 2133490944 is an apocalyptic number.

It is an amenable number.

133490944 is an abundant number, since it is smaller than the sum of its proper divisors (142173116).

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

133490944 is an equidigital number, since it uses as much as digits as its factorization.

133490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18026 (or 18012 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 133490944 is about 11553.8281101979. The cubic root of 133490944 is about 511.0741732320.

The spelling of 133490944 in words is "one hundred thirty-three million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 17981 35962 71924 143848 287696 521449 575392 1042898 1150784 2085796 2301568 4171592 4603136 8343184 16686368 33372736 66745472 133490944