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632103426 = 23410935797
BaseRepresentation
bin100101101011010…
…010001000000010
31122001102011220000
4211223102020002
52243304302201
6142420100430
721443535063
oct4553221002
91561364800
10632103426
112a4895729
12157834716
13a0c590c6
145dd4256a
153a75ed86
hex25ad2202

632103426 has 40 divisors (see below), whose sum is σ = 1429414140. Its totient is φ = 208762272.

The previous prime is 632103413. The next prime is 632103431. The reversal of 632103426 is 624301236.

632103426 is a `hidden beast` number, since 632 + 1 + 0 + 3 + 4 + 26 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 617472801 + 14630625 = 24849^2 + 3825^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 632103426.

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 19 ways as a sum of consecutive naturals, for example, 241 + ... + 35556.

Almost surely, 2632103426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632103426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714707070).

632103426 is an abundant number, since it is smaller than the sum of its proper divisors (797310714).

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

632103426 is a wasteful number, since it uses less digits than its factorization.

632103426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35920 (or 35911 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 632103426 is about 25141.6671284941. The cubic root of 632103426 is about 858.2148955588.

The spelling of 632103426 in words is "six hundred thirty-two million, one hundred three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 17658 35797 71594 107391 214782 322173 644346 966519 1933038 2899557 3901873 5799114 7803746 11705619 23411238 35116857 70233714 105350571 210701142 316051713 632103426