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5059152 = 243372239
BaseRepresentation
bin10011010011001001010000
3100112000212000
4103103021100
52243343102
6300234000
761000500
oct23231120
910460760
105059152
11294601a
12183b900
1310819a7
14959a00
1569e01c
hex4d3250

5059152 has 120 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1439424.

The previous prime is 5059151. The next prime is 5059163. The reversal of 5059152 is 2519505.

5059152 is a `hidden beast` number, since 505 + 9 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21049 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 25059152 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 5059152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5059152 is an abundant number, since it is smaller than the sum of its proper divisors (11904048).

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

5059152 is a wasteful number, since it uses less digits than its factorization.

5059152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 5059152 is about 2249.2558769513. The cubic root of 5059152 is about 171.6692761514.

The spelling of 5059152 in words is "five million, fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 239 252 294 336 378 392 432 441 478 504 588 717 756 784 882 956 1008 1176 1323 1434 1512 1673 1764 1912 2151 2352 2646 2868 3024 3346 3528 3824 4302 5019 5292 5736 6453 6692 7056 8604 10038 10584 11472 11711 12906 13384 15057 17208 20076 21168 23422 25812 26768 30114 34416 35133 40152 45171 46844 51624 60228 70266 80304 90342 93688 103248 105399 120456 140532 180684 187376 210798 240912 281064 316197 361368 421596 562128 632394 722736 843192 1264788 1686384 2529576 5059152