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2428720608 = 25341617053
BaseRepresentation
bin1001000011000011…
…0101010111100000
320021021001210100010
42100300311113200
514433223024413
61040555524520
7114120533046
oct22060652740
96237053303
102428720608
111036a49816
12579459740
132c92334b2
141907b8396
15e334adc3
hex90c355e0

2428720608 has 48 divisors (see below), whose sum is σ = 6530899536. Its totient is φ = 789826560.

The previous prime is 2428720597. The next prime is 2428720631. The reversal of 2428720608 is 8060278242.

It is a tau number, because it is divible by the number of its divisors (48).

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, 304591 + ... + 312462.

It is an arithmetic number, because the mean of its divisors is an integer number (136060407).

Almost surely, 22428720608 is an apocalyptic number.

It is an amenable number.

2428720608 is an abundant number, since it is smaller than the sum of its proper divisors (4102178928).

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

2428720608 is a wasteful number, since it uses less digits than its factorization.

2428720608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617107 (or 617099 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2428720608 is about 49282.0515806718. The cubic root of 2428720608 is about 1344.1854371401.

The spelling of 2428720608 in words is "two billion, four hundred twenty-eight million, seven hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 617053 1234106 1851159 2468212 3702318 4936424 7404636 9872848 14809272 19745696 25299173 29618544 50598346 59237088 75897519 101196692 151795038 202393384 303590076 404786768 607180152 809573536 1214360304 2428720608