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2328792480 = 253257231031
BaseRepresentation
bin1000101011001110…
…1000110110100000
320000022000220201100
42022303220312200
514232132324410
61023030034400
7111465260310
oct21263506640
96008026640
102328792480
11a955a7293
1254baa8a00
132b1616621
14181405440
15d96ac8c0
hex8ace8da0

2328792480 has 144 divisors (see below), whose sum is σ = 9082329984. Its totient is φ = 532293120.

The previous prime is 2328792467. The next prime is 2328792541. The reversal of 2328792480 is 842978232.

2328792480 is a `hidden beast` number, since 2 + 3 + 2 + 87 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 105436 + ... + 125595.

It is an arithmetic number, because the mean of its divisors is an integer number (63071736).

Almost surely, 22328792480 is an apocalyptic number.

2328792480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328792480 is an abundant number, since it is smaller than the sum of its proper divisors (6753537504).

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

2328792480 is a wasteful number, since it uses less digits than its factorization.

2328792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231059 (or 231048 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2328792480 is about 48257.5639666985. The cubic root of 2328792480 is about 1325.4914479336.

The spelling of 2328792480 in words is "two billion, three hundred twenty-eight million, seven hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 231031 462062 693093 924124 1155155 1386186 1617217 1848248 2079279 2310310 2772372 3234434 3465465 3696496 4158558 4620620 4851651 5544744 6468868 6930930 7392992 8086085 8317116 9241240 9703302 10396395 11089488 12937736 13861860 14554953 16172170 16634232 18482480 19406604 20792790 22178976 24258255 25875472 27723720 29109906 32344340 33268464 36964960 38813208 41585580 48516510 51750944 55447440 58219812 64688680 66536928 72774765 77626416 83171160 97033020 110894880 116439624 129377360 145549530 155252832 166342320 194066040 232879248 258754720 291099060 332684640 388132080 465758496 582198120 776264160 1164396240 2328792480