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652639680 = 26355711109
BaseRepresentation
bin100110111001100…
…111110111000000
31200111001112100000
4212321213313000
52314033432210
6144432200000
722113226410
oct4671476700
91614045300
10652639680
11305441940
12162699000
13a5299634
146296a640
153c469ac0
hex26e67dc0

652639680 has 672 divisors, whose sum is σ = 2929006080. Its totient is φ = 134369280.

The previous prime is 652639657. The next prime is 652639709. The reversal of 652639680 is 86936256.

It is a happy number.

652639680 is a `hidden beast` number, since 6 + 5 + 2 + 639 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5987466 + ... + 5987574.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2652639680 is an apocalyptic number.

652639680 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 652639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

652639680 is an abundant number, since it is smaller than the sum of its proper divisors (2276366400).

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

652639680 is a wasteful number, since it uses less digits than its factorization.

652639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 652639680 is about 25546.8134999260. The cubic root of 652639680 is about 867.4101338973.

The spelling of 652639680 in words is "six hundred fifty-two million, six hundred thirty-nine thousand, six hundred eighty".