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5018832 = 2432713383
BaseRepresentation
bin10011001001010011010000
3100102222112200
4103021103100
52241100312
6255323200
760442110
oct23112320
910388480
105018832
1129187a5
121820500
131069530
14949040
156920dc
hex4c94d0

5018832 has 120 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1320192.

The previous prime is 5018821. The next prime is 5018833. The reversal of 5018832 is 2388105.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5018796 and 5018805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12913 + ... + 13295.

Almost surely, 25018832 is an apocalyptic number.

5018832 is a gapful number since it is divisible by the number (52) 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 5018832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

5018832 is an abundant number, since it is smaller than the sum of its proper divisors (12313392).

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

5018832 is a wasteful number, since it uses less digits than its factorization.

5018832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5018832 is about 2240.2749831215. The cubic root of 5018832 is about 171.2120074846.

The spelling of 5018832 in words is "five million, eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 383 468 504 546 624 728 766 819 936 1008 1092 1149 1456 1532 1638 1872 2184 2298 2681 3064 3276 3447 4368 4596 4979 5362 6128 6552 6894 8043 9192 9958 10724 13104 13788 14937 16086 18384 19916 21448 24129 27576 29874 32172 34853 39832 42896 44811 48258 55152 59748 64344 69706 79664 89622 96516 104559 119496 128688 139412 179244 193032 209118 238992 278824 313677 358488 386064 418236 557648 627354 716976 836472 1254708 1672944 2509416 5018832