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2260047048 = 233717246549
BaseRepresentation
bin1000011010110101…
…1001010011001000
312211111200021201020
42012231121103020
514112033001143
61012132352440
7110002040310
oct20655312310
95744607636
102260047048
11a5a812886
12530a75720
132a02c6b5c
1417622c440
15d362d883
hex86b594c8

2260047048 has 96 divisors (see below), whose sum is σ = 6859608000. Its totient is φ = 607730688.

The previous prime is 2260047007. The next prime is 2260047067. The reversal of 2260047048 is 8407400622.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25278 + ... + 71826.

It is an arithmetic number, because the mean of its divisors is an integer number (71454250).

Almost surely, 22260047048 is an apocalyptic number.

2260047048 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 2260047048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429804000).

2260047048 is an abundant number, since it is smaller than the sum of its proper divisors (4599560952).

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

2260047048 is a wasteful number, since it uses less digits than its factorization.

2260047048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46599 (or 46578 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2260047048 is about 47539.9521245026. The cubic root of 2260047048 is about 1312.3182244768.

The spelling of 2260047048 in words is "two billion, two hundred sixty million, forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 578 714 867 952 1156 1428 1734 2023 2312 2856 3468 4046 6069 6936 8092 12138 16184 24276 46549 48552 93098 139647 186196 279294 325843 372392 558588 651686 791333 977529 1117176 1303372 1582666 1955058 2373999 2606744 3165332 3910116 4747998 5539331 6330664 7820232 9495996 11078662 13452661 16617993 18991992 22157324 26905322 33235986 40357983 44314648 53810644 66471972 80715966 94168627 107621288 132943944 161431932 188337254 282505881 322863864 376674508 565011762 753349016 1130023524 2260047048