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145508868 = 22325968507
BaseRepresentation
bin10001010110001…
…00101000000100
3101010210121122100
420223010220010
5244222240433
622234432100
73414543051
oct1053045004
9333717570
10145508868
1175154a6a
1240892630
13241b892b
141547a028
15cb93b13
hex8ac4a04

145508868 has 36 divisors (see below), whose sum is σ = 374053680. Its totient is φ = 47680176.

The previous prime is 145508819. The next prime is 145508887. The reversal of 145508868 is 868805541.

145508868 is a `hidden beast` number, since 14 + 550 + 8 + 86 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32130 + ... + 36377.

It is an arithmetic number, because the mean of its divisors is an integer number (10390380).

Almost surely, 2145508868 is an apocalyptic number.

145508868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145508868 is an abundant number, since it is smaller than the sum of its proper divisors (228544812).

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

145508868 is a wasteful number, since it uses less digits than its factorization.

145508868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68576 (or 68571 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 145508868 is about 12062.7056666405. The cubic root of 145508868 is about 525.9726404637.

The spelling of 145508868 in words is "one hundred forty-five million, five hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 68507 137014 205521 274028 411042 616563 822084 1233126 2466252 4041913 8083826 12125739 16167652 24251478 36377217 48502956 72754434 145508868