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645472080 = 2432511231239
BaseRepresentation
bin100110011110010…
…001111101010000
31122222120101020100
4212132101331100
52310220101310
6144014412400
721665264541
oct4636217520
91588511210
10645472080
11301396800
12160201100
13a395a056
1461a224c8
153ba00ec0
hex26791f50

645472080 has 360 divisors, whose sum is σ = 2469841920. Its totient is φ = 150796800.

The previous prime is 645472063. The next prime is 645472151. The reversal of 645472080 is 80274546.

645472080 is a `hidden beast` number, since 645 + 4 + 7 + 2 + 0 + 8 + 0 = 666.

645472080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700601 + ... + 2700839.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 2645472080 is an apocalyptic number.

645472080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234920960).

645472080 is an abundant number, since it is smaller than the sum of its proper divisors (1824369840).

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

645472080 is a wasteful number, since it uses less digits than its factorization.

645472080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 645472080 is about 25406.1425643485. The cubic root of 645472080 is about 864.2230005656.

The spelling of 645472080 in words is "six hundred forty-five million, four hundred seventy-two thousand, eighty".