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2428378056 = 2334131731547
BaseRepresentation
bin1001000010111110…
…0001101111001000
320021020102101110000
42100233201233020
514433131044211
61040544323000
7114114605256
oct22057415710
96236371400
102428378056
111036835415
12579313460
132c91435c0
141907295d6
15e32ce656
hex90be1bc8

2428378056 has 320 divisors, whose sum is σ = 8020615680. Its totient is φ = 679311360.

The previous prime is 2428378033. The next prime is 2428378067. The reversal of 2428378056 is 6508738242.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4439175 + ... + 4439721.

It is an arithmetic number, because the mean of its divisors is an integer number (25064424).

Almost surely, 22428378056 is an apocalyptic number.

2428378056 is a gapful number since it is divisible by the number (26) 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 2428378056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010307840).

2428378056 is an abundant number, since it is smaller than the sum of its proper divisors (5592237624).

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

2428378056 is a wasteful number, since it uses less digits than its factorization.

2428378056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2428378056 is about 49278.5760346218. The cubic root of 2428378056 is about 1344.1222385630.

The spelling of 2428378056 in words is "two billion, four hundred twenty-eight million, three hundred seventy-eight thousand, fifty-six".