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2470879488 = 283721147127
BaseRepresentation
bin1001001101000110…
…1010000100000000
320101012101200110010
42103101222010000
520030021120423
61045103304520
7115142062200
oct22321520400
96335350403
102470879488
111058824370
1258b5ab140
13304ba488c
14196230400
15e6dc7693
hex9346a100

2470879488 has 432 divisors, whose sum is σ = 8589901824. Its totient is φ = 623185920.

The previous prime is 2470879483. The next prime is 2470879493. The reversal of 2470879488 is 8849780742.

It is an interprime number because it is at equal distance from previous prime (2470879483) and next prime (2470879493).

It is a super-2 number, since 2×24708794882 = 12210490888438284288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2470879483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19455681 + ... + 19455807.

It is an arithmetic number, because the mean of its divisors is an integer number (19884032).

Almost surely, 22470879488 is an apocalyptic number.

2470879488 is a gapful number since it is divisible by the number (28) 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 2470879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294950912).

2470879488 is an abundant number, since it is smaller than the sum of its proper divisors (6119022336).

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

2470879488 is a wasteful number, since it uses less digits than its factorization.

2470879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The square root of 2470879488 is about 49707.9419006661. The cubic root of 2470879488 is about 1351.9185320237.

It can be divided in two parts, 24708 and 79488, that added together give a triangular number (104196 = T456).

The spelling of 2470879488 in words is "two billion, four hundred seventy million, eight hundred seventy-nine thousand, four hundred eighty-eight".