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645632 = 291397
BaseRepresentation
bin10011101101000000000
31012210122022
42131220000
5131130012
621501012
75326211
oct2355000
91183568
10645632
11401089
12271768
13197b40
1412b408
15cb472
hex9da00

645632 has 40 divisors (see below), whose sum is σ = 1403556. Its totient is φ = 294912.

The previous prime is 645629. The next prime is 645641. The reversal of 645632 is 236546.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 30976 = 784^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6608 + ... + 6704.

2645632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701778).

645632 is an abundant number, since it is smaller than the sum of its proper divisors (757924).

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

645632 is an equidigital number, since it uses as much as digits as its factorization.

645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 645632 is about 803.5122898873. The cubic root of 645632 is about 86.4294367004.

The spelling of 645632 in words is "six hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1261 1552 1664 2522 3104 3328 5044 6208 6656 10088 12416 20176 24832 40352 49664 80704 161408 322816 645632