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645147144 = 233217527081
BaseRepresentation
bin100110011101000…
…010101000001000
31122221221212111200
4212131002220020
52310124202034
6144003424200
721662442315
oct4635025010
91587855450
10645147144
11301194664
12160085060
13a3875195
1461979d0c
153b989a99
hex26742a08

645147144 has 48 divisors (see below), whose sum is σ = 1850057820. Its totient is φ = 202398720.

The previous prime is 645147121. The next prime is 645147157. The reversal of 645147144 is 441741546.

It is a happy number.

645147144 is a `hidden beast` number, since 645 + 1 + 4 + 7 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642014244 + 3132900 = 25338^2 + 1770^2 .

It is a super-2 number, since 2×6451471442 = 832429674822713472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 645147099 and 645147108.

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, 262317 + ... + 264764.

Almost surely, 2645147144 is an apocalyptic number.

It is an amenable number.

645147144 is an abundant number, since it is smaller than the sum of its proper divisors (1204910676).

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

645147144 is a wasteful number, since it uses less digits than its factorization.

645147144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527110 (or 527103 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 645147144 is about 25399.7469278731. The cubic root of 645147144 is about 864.0779572148.

The spelling of 645147144 in words is "six hundred forty-five million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 527081 1054162 1581243 2108324 3162486 4216648 4743729 6324972 8960377 9487458 12649944 17920754 18974916 26881131 35841508 37949832 53762262 71683016 80643393 107524524 161286786 215049048 322573572 645147144