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5059824 = 243711372
BaseRepresentation
bin10011010011010011110000
3100112001202220
4103103103300
52243403244
6300241040
761002450
oct23232360
910461686
105059824
112946580
121840180
1310820a3
14959d60
1569e319
hex4d34f0

5059824 has 120 divisors (see below), whose sum is σ = 16748928. Its totient is φ = 1278720.

The previous prime is 5059799. The next prime is 5059837. The reversal of 5059824 is 4289505.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 136734 + ... + 136770.

Almost surely, 25059824 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 5059824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374464).

5059824 is an abundant number, since it is smaller than the sum of its proper divisors (11689104).

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

5059824 is a wasteful number, since it uses less digits than its factorization.

5059824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5059824 is about 2249.4052547285. The cubic root of 5059824 is about 171.6768766772.

The spelling of 5059824 in words is "five million, fifty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1369 1554 1628 1776 1848 2072 2442 2738 2849 3108 3256 3696 4107 4144 4884 5476 5698 6216 6512 8214 8547 9583 9768 10952 11396 12432 15059 16428 17094 19166 19536 21904 22792 28749 30118 32856 34188 38332 45177 45584 57498 60236 65712 68376 76664 90354 105413 114996 120472 136752 153328 180708 210826 229992 240944 316239 361416 421652 459984 632478 722832 843304 1264956 1686608 2529912 5059824