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4052385540 = 22325717189187
BaseRepresentation
bin1111000110001010…
…0111111100000100
3101110102021111220100
43301202213330010
531244402314130
61510040404100
7202264465050
oct36142477404
911412244810
104052385540
11179a514265
12951176630
134c7733888
142a62acc60
1518ab71c60
hexf18a7f04

4052385540 has 144 divisors (see below), whose sum is σ = 14874717312. Its totient is φ = 871769088.

The previous prime is 4052385539. The next prime is 4052385577. The reversal of 4052385540 is 455832504.

4052385540 is a `hidden beast` number, since 4 + 0 + 523 + 85 + 54 + 0 = 666.

4052385540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4052385495 and 4052385504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73174 + ... + 116013.

It is an arithmetic number, because the mean of its divisors is an integer number (103296648).

Almost surely, 24052385540 is an apocalyptic number.

It is an amenable number.

4052385540 is an abundant number, since it is smaller than the sum of its proper divisors (10822331772).

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

4052385540 is a wasteful number, since it uses less digits than its factorization.

4052385540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189226 (or 189221 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4052385540 is about 63658.3501199960. The cubic root of 4052385540 is about 1594.3007571022.

The spelling of 4052385540 in words is "four billion, fifty-two million, three hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 189187 378374 567561 756748 945935 1135122 1324309 1702683 1891870 2270244 2648618 2837805 3216179 3405366 3783740 3972927 5297236 5675610 6432358 6621545 6810732 7945854 8513415 9648537 11351220 11918781 12864716 13243090 15891708 16080895 17026830 19297074 19864635 22513253 23837562 26486180 28945611 32161790 34053660 38594148 39729270 45026506 47675124 48242685 57891222 59593905 64323580 67539759 79458540 90053012 96485370 112566265 115782444 119187810 135079518 144728055 192970740 202619277 225132530 238375620 270159036 289456110 337698795 405238554 450265060 578912220 675397590 810477108 1013096385 1350795180 2026192770 4052385540