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632250080 = 255711193773
BaseRepresentation
bin100101101011110…
…101111011100000
31122001200122001122
4211223311323200
52243324000310
6142423151412
721445015460
oct4553657340
91561618048
10632250080
112a4985930
121578a5568
13a0caaa97
145dd7dba0
153a78d555
hex25af5ee0

632250080 has 384 divisors, whose sum is σ = 2040837120. Its totient is φ = 179159040.

The previous prime is 632250079. The next prime is 632250089. The reversal of 632250080 is 80052236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632250089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8660924 + ... + 8660996.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2632250080 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 632250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020418560).

632250080 is an abundant number, since it is smaller than the sum of its proper divisors (1408587040).

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

632250080 is a wasteful number, since it uses less digits than its factorization.

632250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 632250080 is about 25144.5835121602. The cubic root of 632250080 is about 858.2812617629.

The spelling of 632250080 in words is "six hundred thirty-two million, two hundred fifty thousand, eighty".