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83144964 = 22372141403
BaseRepresentation
bin1001111010010…
…11000100000100
312210110012110010
410331023010010
5132241114324
612130030220
72026502100
oct475130404
9183405403
1083144964
1142a2a051
1223a18370
13142c1a06
14b084900
157475829
hex4f4b104

83144964 has 36 divisors (see below), whose sum is σ = 225680784. Its totient is φ = 23755536.

The previous prime is 83144953. The next prime is 83144981. The reversal of 83144964 is 46944138.

It is a happy number.

It is a super-2 number, since 2×831449642 = 13826170077122592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70114 + ... + 71289.

Almost surely, 283144964 is an apocalyptic number.

83144964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83144964 is an abundant number, since it is smaller than the sum of its proper divisors (142535820).

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

83144964 is a wasteful number, since it uses less digits than its factorization.

83144964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141424 (or 141415 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 83144964 is about 9118.3860414001. The cubic root of 83144964 is about 436.4608725387.

The spelling of 83144964 in words is "eighty-three million, one hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 141403 282806 424209 565612 848418 989821 1696836 1979642 2969463 3959284 5938926 6928747 11877852 13857494 20786241 27714988 41572482 83144964