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880131492 = 223224448097
BaseRepresentation
bin110100011101011…
…011110110100100
32021100010022102200
4310131123312210
53300303201432
6223200134500
730544665012
oct6435336644
92240108380
10880131492
114118a18a9
12206907430
1311045b086
1484c678b2
1552404a7c
hex3475bda4

880131492 has 18 divisors (see below), whose sum is σ = 2224776918. Its totient is φ = 293377152.

The previous prime is 880131479. The next prime is 880131517. The reversal of 880131492 is 294131088.

It can be written as a sum of positive squares in only one way, i.e., 738426276 + 141705216 = 27174^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 24448097 = 880131492 / (8 + 8 + 0 + 1 + 3 + 1 + 4 + 9 + 2).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12224013 + ... + 12224084.

Almost surely, 2880131492 is an apocalyptic number.

It is an amenable number.

880131492 is an abundant number, since it is smaller than the sum of its proper divisors (1344645426).

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

880131492 is a wasteful number, since it uses less digits than its factorization.

880131492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24448107 (or 24448102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 880131492 is about 29667.0101628054. The cubic root of 880131492 is about 958.3316988370.

The spelling of 880131492 in words is "eight hundred eighty million, one hundred thirty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 24448097 48896194 73344291 97792388 146688582 220032873 293377164 440065746 880131492