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4513382280 = 23325112103613
BaseRepresentation
bin1000011010000010…
…01011111110001000
3102122112201120112200
410031001023332020
533220411213110
62023505240200
7216563054631
oct41501137610
912575646480
104513382280
111a06760a00
12a5b633060
1356c0b0a04
1430b5d0888
151b63836c0
hex10d04bf88

4513382280 has 144 divisors (see below), whose sum is σ = 16123374540. Its totient is φ = 1094142720.

The previous prime is 4513382273. The next prime is 4513382333. The reversal of 4513382280 is 822833154.

4513382280 is a `hidden beast` number, since 45 + 1 + 338 + 2 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4123951524 + 389430756 = 64218^2 + 19734^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8247 + ... + 95366.

Almost surely, 24513382280 is an apocalyptic number.

4513382280 is a gapful number since it is divisible by the number (40) 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 4513382280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061687270).

4513382280 is an abundant number, since it is smaller than the sum of its proper divisors (11609992260).

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

4513382280 is a wasteful number, since it uses less digits than its factorization.

4513382280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103652 (or 103634 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4513382280 is about 67181.7109040846. The cubic root of 4513382280 is about 1652.5985720475.

The spelling of 4513382280 in words is "four billion, five hundred thirteen million, three hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 103613 207226 310839 414452 518065 621678 828904 932517 1036130 1139743 1243356 1554195 1865034 2072260 2279486 2486712 3108390 3419229 3730068 4144520 4558972 4662585 5698715 6216780 6838458 7460136 9117944 9325170 10257687 11397430 12433560 12537173 13676916 17096145 18650340 20515374 22794860 25074346 27353832 34192290 37300680 37611519 41030748 45589720 50148692 51288435 62685865 68384580 75223038 82061496 100297384 102576870 112834557 125371730 136769160 150446076 188057595 205153740 225669114 250743460 300892152 376115190 410307480 451338228 501486920 564172785 752230380 902676456 1128345570 1504460760 2256691140 4513382280