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633763480 = 23572263441
BaseRepresentation
bin100101110001100…
…111011010011000
31122011112112001111
4211301213122120
52244220412410
6142515430104
721463620640
oct4561473230
91564475044
10633763480
112a5819979
121582b5334
13a13ba89c
1460255520
153a98bb8a
hex25c67698

633763480 has 32 divisors (see below), whose sum is σ = 1629678240. Its totient is φ = 217290240.

The previous prime is 633763447. The next prime is 633763489. The reversal of 633763480 is 84367336.

633763480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6337634802 = 803312297163420800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633763489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131441 + ... + 1132000.

It is an arithmetic number, because the mean of its divisors is an integer number (50927445).

Almost surely, 2633763480 is an apocalyptic number.

It is an amenable number.

633763480 is an abundant number, since it is smaller than the sum of its proper divisors (995914760).

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

633763480 is a wasteful number, since it uses less digits than its factorization.

633763480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263459 (or 2263455 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 633763480 is about 25174.6594813118. The cubic root of 633763480 is about 858.9655309995.

The spelling of 633763480 in words is "six hundred thirty-three million, seven hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2263441 4526882 9053764 11317205 15844087 18107528 22634410 31688174 45268820 63376348 79220435 90537640 126752696 158440870 316881740 633763480