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146788872 = 23313194637
BaseRepresentation
bin10001011111111…
…01001000001000
3101020012122110220
420233331020020
5300034220442
622322110040
73431453616
oct1057751010
9336178426
10146788872
117594971a
12411ab320
1324546429
14156d06b6
15cd47eec
hex8bfd208

146788872 has 32 divisors (see below), whose sum is σ = 367329600. Its totient is φ = 48881984.

The previous prime is 146788871. The next prime is 146788909. The reversal of 146788872 is 278887641.

146788872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146788871) 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 7 ways as a sum of consecutive naturals, for example, 29338 + ... + 33974.

It is an arithmetic number, because the mean of its divisors is an integer number (11479050).

Almost surely, 2146788872 is an apocalyptic number.

146788872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146788872 is an abundant number, since it is smaller than the sum of its proper divisors (220540728).

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

146788872 is a wasteful number, since it uses less digits than its factorization.

146788872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5961 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The square root of 146788872 is about 12115.6457524971. The cubic root of 146788872 is about 527.5104219919.

The spelling of 146788872 in words is "one hundred forty-six million, seven hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 1319 2638 3957 4637 5276 7914 9274 10552 13911 15828 18548 27822 31656 37096 55644 111288 6116203 12232406 18348609 24464812 36697218 48929624 73394436 146788872