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5158944 = 25337853
BaseRepresentation
bin10011101011100000100000
3100201002202000
4103223200200
52310041234
6302324000
761564440
oct23534040
910632660
105158944
112a03a9a
121889600
1310b823b
14984120
156bd899
hex4eb820

5158944 has 96 divisors (see below), whose sum is σ = 17216640. Its totient is φ = 1472256.

The previous prime is 5158921. The next prime is 5158987. The reversal of 5158944 is 4498515.

5158944 = T167 + T168 + ... + T328.

5158944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51589442 = 53229406390272, which contains 22 as substring.

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 = 5158899 and 5158908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (179340).

Almost surely, 25158944 is an apocalyptic number.

5158944 is a gapful number since it is divisible by the number (54) 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 5158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608320).

5158944 is an abundant number, since it is smaller than the sum of its proper divisors (12057696).

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

5158944 is a wasteful number, since it uses less digits than its factorization.

5158944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5158944 is about 2271.3308873874. The cubic root of 5158944 is about 172.7906630758.

The spelling of 5158944 in words is "five million, one hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 853 864 1008 1512 1706 2016 2559 3024 3412 5118 5971 6048 6824 7677 10236 11942 13648 15354 17913 20472 23031 23884 27296 30708 35826 40944 46062 47768 53739 61416 71652 81888 92124 95536 107478 122832 143304 161217 184248 191072 214956 245664 286608 322434 368496 429912 573216 644868 736992 859824 1289736 1719648 2579472 5158944