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5858928 = 2432232961
BaseRepresentation
bin10110010110011001110000
3102000122221100
4112112121300
52444441203
6325324400
7100541265
oct26263160
912018840
105858928
113341999
121b66700
1312a1a2a
14ac726c
157aaea3
hex596670

5858928 has 120 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 1774080.

The previous prime is 5858927. The next prime is 5858933. The reversal of 5858928 is 8298585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96018 + ... + 96078.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 25858928 is an apocalyptic number.

5858928 is a gapful number since it is divisible by the number (58) 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 5858928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

5858928 is an abundant number, since it is smaller than the sum of its proper divisors (12130992).

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

5858928 is a wasteful number, since it uses less digits than its factorization.

5858928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 5858928 is about 2420.5222576956. The cubic root of 5858928 is about 180.2766117412.

It can be divided in two parts, 5858 and 928, that added together give a triangular number (6786 = T116).

The spelling of 5858928 in words is "five million, eight hundred fifty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 61 69 72 87 92 116 122 138 144 174 183 184 207 232 244 261 276 348 366 368 414 464 488 522 549 552 667 696 732 828 976 1044 1098 1104 1334 1392 1403 1464 1656 1769 2001 2088 2196 2668 2806 2928 3312 3538 4002 4176 4209 4392 5307 5336 5612 6003 7076 8004 8418 8784 10614 10672 11224 12006 12627 14152 15921 16008 16836 21228 22448 24012 25254 28304 31842 32016 33672 40687 42456 48024 50508 63684 67344 81374 84912 96048 101016 122061 127368 162748 202032 244122 254736 325496 366183 488244 650992 732366 976488 1464732 1952976 2929464 5858928