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633540042 = 2346416101
BaseRepresentation
bin100101110000110…
…000110111001010
31122011010011120000
4211300300313022
52244141240132
6142510543430
721462000342
oct4560606712
91564104500
10633540042
112a5687013
12158207b76
13a133cc85
14601d7d22
153a94587c
hex25c30dca

633540042 has 40 divisors (see below), whose sum is σ = 1422046692. Its totient is φ = 210816000.

The previous prime is 633540023. The next prime is 633540073. The reversal of 633540042 is 240045336.

It can be written as a sum of positive squares in 2 ways, for example, as 577873521 + 55666521 = 24039^2 + 7461^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 633539988 and 633540015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100792 + ... + 106892.

Almost surely, 2633540042 is an apocalyptic number.

633540042 is an abundant number, since it is smaller than the sum of its proper divisors (788506650).

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

633540042 is a wasteful number, since it uses less digits than its factorization.

633540042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 633540042 is about 25170.2213339494. The cubic root of 633540042 is about 858.8645742516.

Adding to 633540042 its reverse (240045336), we get a palindrome (873585378).

The spelling of 633540042 in words is "six hundred thirty-three million, five hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 641 1282 1923 3846 5769 6101 11538 12202 17307 18303 34614 36606 51921 54909 103842 109818 164727 329454 494181 988362 3910741 7821482 11732223 23464446 35196669 70393338 105590007 211180014 316770021 633540042