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632752480 = 25527114593
BaseRepresentation
bin100101101101110…
…000100101100000
31122002122011020001
4211231300211200
52243441034410
6142442025344
721452210263
oct4555604540
91562564201
10632752480
112a5199338
12157aa8254
13a1125669
1460070cda
153a83c33a
hex25b70960

632752480 has 48 divisors (see below), whose sum is σ = 1500496704. Its totient is φ = 252149760.

The previous prime is 632752469. The next prime is 632752507. The reversal of 632752480 is 84257236.

It is a congruent number.

It is an unprimeable number.

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, 36064 + ... + 50656.

It is an arithmetic number, because the mean of its divisors is an integer number (31260348).

Almost surely, 2632752480 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 632752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750248352).

632752480 is an abundant number, since it is smaller than the sum of its proper divisors (867744224).

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

632752480 is a wasteful number, since it uses less digits than its factorization.

632752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 632752480 is about 25154.5717514729. The cubic root of 632752480 is about 858.5085380449.

The spelling of 632752480 in words is "six hundred thirty-two million, seven hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 14593 21680 29186 43360 58372 72965 116744 145930 233488 291860 466976 583720 1167440 2334880 3954703 7909406 15818812 19773515 31637624 39547030 63275248 79094060 126550496 158188120 316376240 632752480