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5267024 = 247313741
BaseRepresentation
bin10100000101111001010000
3100220120222222
4110011321100
52322021044
6304520212
762524520
oct24057120
910816888
105267024
112a78214
121920068
1311254a9
149b1680
156e08ee
hex505e50

5267024 has 80 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 2073600.

The previous prime is 5266997. The next prime is 5267039. The reversal of 5267024 is 4207625.

It is a Cunningham number, because it is equal to 22952-1.

It is a junction number, because it is equal to n+sod(n) for n = 5266984 and 5267002.

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, 128444 + ... + 128484.

Almost surely, 25267024 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 5267024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

5267024 is an abundant number, since it is smaller than the sum of its proper divisors (7398832).

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

5267024 is a wasteful number, since it uses less digits than its factorization.

5267024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5267024 is about 2294.9997821351. Note that the first 3 decimals coincide. The cubic root of 5267024 is about 173.9889894825.

It can be divided in two parts, 52 and 67024, that added together give a palindrome (67076).

The spelling of 5267024 in words is "five million, two hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 37 41 56 62 74 82 112 124 148 164 217 248 259 287 296 328 434 496 518 574 592 656 868 1036 1147 1148 1271 1517 1736 2072 2294 2296 2542 3034 3472 4144 4588 4592 5084 6068 8029 8897 9176 10168 10619 12136 16058 17794 18352 20336 21238 24272 32116 35588 42476 47027 64232 71176 84952 94054 128464 142352 169904 188108 329189 376216 658378 752432 1316756 2633512 5267024