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4993884 = 22327219149
BaseRepresentation
bin10011000011001101011100
3100101201022200
4103003031130
52234301014
6255011500
760306300
oct23031534
910351280
104993884
112900a85
121809b90
13105b07c
1493dd00
15689a09
hex4c335c

4993884 has 108 divisors (see below), whose sum is σ = 15561000. Its totient is φ = 1342656.

The previous prime is 4993873. The next prime is 4993897. The reversal of 4993884 is 4883994.

4993884 = 693 + 703 + ... + 803.

It is a happy number.

4993884 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (248832) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33442 + ... + 33590.

Almost surely, 24993884 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 4993884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780500).

4993884 is an abundant number, since it is smaller than the sum of its proper divisors (10567116).

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

4993884 is a wasteful number, since it uses less digits than its factorization.

4993884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4993884 is about 2234.6999798631. The cubic root of 4993884 is about 170.9278448013.

The spelling of 4993884 in words is "four million, nine hundred ninety-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 149 171 196 228 252 266 294 298 342 399 441 447 532 588 596 684 798 882 894 931 1043 1197 1341 1596 1764 1788 1862 2086 2394 2682 2793 2831 3129 3724 4172 4788 5364 5586 5662 6258 7301 8379 8493 9387 11172 11324 12516 14602 16758 16986 18774 19817 21903 25479 29204 33516 33972 37548 39634 43806 50958 59451 65709 79268 87612 101916 118902 131418 138719 178353 237804 262836 277438 356706 416157 554876 713412 832314 1248471 1664628 2496942 4993884