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2315890896 = 243117016257
BaseRepresentation
bin1000101000001001…
…1011000011010000
312222101202110001220
42022002123003100
514220332002041
61021445325040
7111250514334
oct21202330320
95871673056
102315890896
11a89295120
12547706780
132aba4a157
1417d8077c4
15d84aed66
hex8a09b0d0

2315890896 has 80 divisors (see below), whose sum is σ = 6536956608. Its totient is φ = 700672000.

The previous prime is 2315890891. The next prime is 2315890901. The reversal of 2315890896 is 6980985132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2315890891) and next prime (2315890901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315890891) 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 15 ways as a sum of consecutive naturals, for example, 367000 + ... + 373256.

Almost surely, 22315890896 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 2315890896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268478304).

2315890896 is an abundant number, since it is smaller than the sum of its proper divisors (4221065712).

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

2315890896 is a wasteful number, since it uses less digits than its factorization.

2315890896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 2315890896 is about 48123.7040968378. The cubic root of 2315890896 is about 1323.0391589074.

The spelling of 2315890896 in words is "two billion, three hundred fifteen million, eight hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 701 1402 2103 2804 4206 5608 6257 7711 8412 11216 12514 15422 16824 18771 23133 25028 30844 33648 37542 46266 50056 61688 68827 75084 92532 100112 123376 137654 150168 185064 206481 275308 300336 370128 412962 550616 825924 1101232 1651848 3303696 4386157 8772314 13158471 17544628 26316942 35089256 48247727 52633884 70178512 96495454 105267768 144743181 192990908 210535536 289486362 385981816 578972724 771963632 1157945448 2315890896