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661272192 = 2732782003
BaseRepresentation
bin100111011010100…
…011011010000000
31201002022002220200
4213122203122000
52323241202232
6145341205200
722246502160
oct4732433200
91632262820
10661272192
1130a2a8649
12165560800
13a6ccc929
1463b765a0
153d0c277c
hex276a3680

661272192 has 96 divisors (see below), whose sum is σ = 2174746080. Its totient is φ = 188932608.

The previous prime is 661272169. The next prime is 661272193. The reversal of 661272192 is 291272166.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6612721923 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (661272193) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32938 + ... + 49065.

It is an arithmetic number, because the mean of its divisors is an integer number (22653605).

Almost surely, 2661272192 is an apocalyptic number.

It is an amenable number.

661272192 is an abundant number, since it is smaller than the sum of its proper divisors (1513473888).

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

661272192 is a wasteful number, since it uses less digits than its factorization.

661272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82030 (or 82015 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 661272192 is about 25715.2132404147. The cubic root of 661272192 is about 871.2178267923.

The spelling of 661272192 in words is "six hundred sixty-one million, two hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 82003 164006 246009 328012 492018 574021 656024 738027 984036 1148042 1312048 1476054 1722063 1968072 2296084 2624096 2952108 3444126 3936144 4592168 5166189 5248192 5904216 6888252 7872288 9184336 10332378 10496384 11808432 13776504 15744576 18368672 20664756 23616864 27553008 31489152 36737344 41329512 47233728 55106016 73474688 82659024 94467456 110212032 165318048 220424064 330636096 661272192