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2315275248 = 24311131941433
BaseRepresentation
bin1000101000000000…
…0100101111110000
312222100121011120010
42022000010233300
514220202301443
61021424214520
7111242341416
oct21200045760
95870534503
102315275248
11a88a04620
1254746a440
132ab892b70
1417d6c72b6
15d83dc733
hex8a004bf0

2315275248 has 320 divisors, whose sum is σ = 7594513920. Its totient is φ = 597196800.

The previous prime is 2315275247. The next prime is 2315275253. The reversal of 2315275248 is 8425725132.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315275241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346840 + ... + 5347272.

It is an arithmetic number, because the mean of its divisors is an integer number (23732856).

Almost surely, 22315275248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315275248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797256960).

2315275248 is an abundant number, since it is smaller than the sum of its proper divisors (5279238672).

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

2315275248 is a wasteful number, since it uses less digits than its factorization.

2315275248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 2315275248 is about 48117.3071565731. The cubic root of 2315275248 is about 1322.9219112137.

The spelling of 2315275248 in words is "two billion, three hundred fifteen million, two hundred seventy-five thousand, two hundred forty-eight".