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2256799904 = 253713713913
BaseRepresentation
bin1000011010000100…
…0000100010100000
312211021120022110122
42012201000202200
514110220044104
61011535015412
7106632324362
oct20641004240
95737508418
102256799904
11a589a5197
1252b96a568
1329c72ab78
14175a24d32
15d31db6be
hex868408a0

2256799904 has 48 divisors (see below), whose sum is σ = 4596796008. Its totient is φ = 1089810432.

The previous prime is 2256799877. The next prime is 2256799913. The reversal of 2256799904 is 4099976522.

It can be written as a sum of positive squares in 4 ways, for example, as 2251692304 + 5107600 = 47452^2 + 2260^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155252 + ... + 169164.

Almost surely, 22256799904 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 2256799904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298398004).

2256799904 is an abundant number, since it is smaller than the sum of its proper divisors (2339996104).

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

2256799904 is a wasteful number, since it uses less digits than its factorization.

2256799904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14097 (or 14089 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 2256799904 is about 47505.7881105029. The cubic root of 2256799904 is about 1311.6894280251.

The spelling of 2256799904 in words is "two billion, two hundred fifty-six million, seven hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 74 137 148 274 296 548 592 1096 1184 2192 4384 5069 10138 13913 20276 27826 40552 55652 81104 111304 162208 222608 445216 514781 1029562 1906081 2059124 3812162 4118248 7624324 8236496 15248648 16472992 30497296 60994592 70524997 141049994 282099988 564199976 1128399952 2256799904