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5348463240 = 23352310631823
BaseRepresentation
bin1001111101100101…
…10001001010001000
3111210202002002021010
410332302301022020
541423201310430
62242420043520
7246353121201
oct47662611210
914722062233
105348463240
1122a508265a
1210532335a0
136730c7463
1438a48c5a8
15214839cb0
hex13ecb1288

5348463240 has 128 divisors (see below), whose sum is σ = 16767959040. Its totient is φ = 1362214656.

The previous prime is 5348463233. The next prime is 5348463269. The reversal of 5348463240 is 423648435.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2932969 + ... + 2934791.

It is an arithmetic number, because the mean of its divisors is an integer number (130999680).

Almost surely, 25348463240 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 5348463240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383979520).

5348463240 is an abundant number, since it is smaller than the sum of its proper divisors (11419495800).

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

5348463240 is a wasteful number, since it uses less digits than its factorization.

5348463240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 5348463240 is about 73133.1883620563. The cubic root of 5348463240 is about 1748.8115184887.

The spelling of 5348463240 in words is "five billion, three hundred forty-eight million, four hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1063 1380 1823 2126 2760 3189 3646 4252 5315 5469 6378 7292 8504 9115 10630 10938 12756 14584 15945 18230 21260 21876 24449 25512 27345 31890 36460 41929 42520 43752 48898 54690 63780 72920 73347 83858 97796 109380 122245 125787 127560 146694 167716 195592 209645 218760 244490 251574 293388 335432 366735 419290 488980 503148 586776 628935 733470 838580 977960 1006296 1257870 1466940 1677160 1937849 2515740 2933880 3875698 5031480 5813547 7751396 9689245 11627094 15502792 19378490 23254188 29067735 38756980 44570527 46508376 58135470 77513960 89141054 116270940 133711581 178282108 222852635 232541880 267423162 356564216 445705270 534846324 668557905 891410540 1069692648 1337115810 1782821080 2674231620 5348463240