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652920480 = 25335359421
BaseRepresentation
bin100110111010101…
…100011010100000
31200111120210112000
4212322230122200
52314121423410
6144442204000
722115506152
oct4672543240
91614523460
10652920480
11305613903
121627b3600
13a53673a4
1462a00ad2
153c4c2dc0
hex26eac6a0

652920480 has 192 divisors, whose sum is σ = 2297030400. Its totient is φ = 173214720.

The previous prime is 652920469. The next prime is 652920487. The reversal of 652920480 is 84029256.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (652920487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550670 + ... + 1551090.

It is an arithmetic number, because the mean of its divisors is an integer number (11963700).

Almost surely, 2652920480 is an apocalyptic number.

652920480 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 652920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148515200).

652920480 is an abundant number, since it is smaller than the sum of its proper divisors (1644109920).

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

652920480 is a wasteful number, since it uses less digits than its factorization.

652920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 652920480 is about 25552.3087019549. The cubic root of 652920480 is about 867.5345179177.

The spelling of 652920480 in words is "six hundred fifty-two million, nine hundred twenty thousand, four hundred eighty".