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2315240928 = 2533711132677
BaseRepresentation
bin1000100111111111…
…1100010111100000
312222100112102111000
42021333330113200
514220200202203
61021423352000
7111242136360
oct21177742740
95870472430
102315240928
11a88990860
12547452600
132ab880360
1417d6b89a0
15d83d24a3
hex89ffc5e0

2315240928 has 384 divisors, whose sum is σ = 9070064640. Its totient is φ = 554895360.

The previous prime is 2315240903. The next prime is 2315240929. The reversal of 2315240928 is 8290425132.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2315240892 and 2315240901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315240929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863526 + ... + 866202.

It is an arithmetic number, because the mean of its divisors is an integer number (23619960).

Almost surely, 22315240928 is an apocalyptic number.

2315240928 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 2315240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535032320).

2315240928 is an abundant number, since it is smaller than the sum of its proper divisors (6754823712).

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

2315240928 is a wasteful number, since it uses less digits than its factorization.

2315240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2713 counting only the distinct ones).

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

The square root of 2315240928 is about 48116.9505268154. The cubic root of 2315240928 is about 1322.9153744956.

The spelling of 2315240928 in words is "two billion, three hundred fifteen million, two hundred forty thousand, nine hundred twenty-eight".