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632484880 = 24511097129
BaseRepresentation
bin100101101100101…
…111010000010000
31122002010120010221
4211230233100100
52243404004010
6142432202424
721450014146
oct4554572020
91562116127
10632484880
112a5026285
12157999414
13a1060911
1460001596
153a7d7dda
hex25b2f410

632484880 has 40 divisors (see below), whose sum is σ = 1472059800. Its totient is φ = 252730368.

The previous prime is 632484871. The next prime is 632484883. The reversal of 632484880 is 88484236.

It can be written as a sum of positive squares in 4 ways, for example, as 2274064 + 630210816 = 1508^2 + 25104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6324848802 = 800074246857228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (632484883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85156 + ... + 92284.

It is an arithmetic number, because the mean of its divisors is an integer number (36801495).

Almost surely, 2632484880 is an apocalyptic number.

It is an amenable number.

632484880 is an abundant number, since it is smaller than the sum of its proper divisors (839574920).

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

632484880 is a wasteful number, since it uses less digits than its factorization.

632484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 632484880 is about 25149.2520763541. The cubic root of 632484880 is about 858.3874958333.

It can be divided in two parts, 6324 and 84880, that added together give a square (91204 = 3022).

The spelling of 632484880 in words is "six hundred thirty-two million, four hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1109 2218 4436 5545 7129 8872 11090 14258 17744 22180 28516 35645 44360 57032 71290 88720 114064 142580 285160 570320 7906061 15812122 31624244 39530305 63248488 79060610 126496976 158121220 316242440 632484880