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2282493408 = 253131996259
BaseRepresentation
bin1000100000001100…
…0001010111100000
312220001220200022220
42020003001113200
514133304242113
61014253431040
7110363605506
oct21003012740
95801820286
102282493408
11a71454098
1253849b480
132a4b55920
141791d2676
15d55b4523
hex880c15e0

2282493408 has 96 divisors (see below), whose sum is σ = 6792105600. Its totient is φ = 665335296.

The previous prime is 2282493373. The next prime is 2282493413. The reversal of 2282493408 is 8043942822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2282493408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24418 + ... + 71841.

It is an arithmetic number, because the mean of its divisors is an integer number (70751100).

Almost surely, 22282493408 is an apocalyptic number.

It is an amenable number.

2282493408 is an abundant number, since it is smaller than the sum of its proper divisors (4509612192).

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

2282493408 is a wasteful number, since it uses less digits than its factorization.

2282493408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96304 (or 96296 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2282493408 is about 47775.4477530038. The cubic root of 2282493408 is about 1316.6484856825.

The spelling of 2282493408 in words is "two billion, two hundred eighty-two million, four hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 96259 192518 288777 385036 577554 770072 1155108 1251367 1540144 1828921 2310216 2502734 3080288 3657842 3754101 4620432 5005468 5486763 7315684 7508202 9240864 10010936 10973526 14631368 15016404 20021872 21947052 23775973 29262736 30032808 40043744 43894104 47551946 58525472 60065616 71327919 87788208 95103892 120131232 142655838 175576416 190207784 285311676 380415568 570623352 760831136 1141246704 2282493408