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641628 = 223313457
BaseRepresentation
bin10011100101001011100
31012121011000
42130221130
5131013003
621430300
75311431
oct2345134
91177130
10641628
113a9079
1226b390
13196080
14129b88
15ca1a3
hex9ca5c

641628 has 48 divisors (see below), whose sum is σ = 1795360. Its totient is φ = 196992.

The previous prime is 641623. The next prime is 641633. The reversal of 641628 is 826146.

641628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (641623) and next prime (641633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641623) by changing a digit.

641628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176 + ... + 1632.

2641628 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 641628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897680).

641628 is an abundant number, since it is smaller than the sum of its proper divisors (1153732).

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

641628 is a wasteful number, since it uses less digits than its factorization.

641628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 641628 is about 801.0168537553. The cubic root of 641628 is about 86.2503969736.

Subtracting from 641628 its sum of digits (27), we obtain a square (641601 = 8012).

The spelling of 641628 in words is "six hundred forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 457 468 702 914 1371 1404 1828 2742 4113 5484 5941 8226 11882 12339 16452 17823 23764 24678 35646 49356 53469 71292 106938 160407 213876 320814 641628