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5885152 = 257134347
BaseRepresentation
bin10110011100110011100000
3102001222220121
4112130303200
53001311102
6330050024
7101010610
oct26346340
912058817
105885152
11335a669
121b79914
1312b0950
14ad2a40
157b3b37
hex59cce0

5885152 has 96 divisors (see below), whose sum is σ = 14902272. Its totient is φ = 2225664.

The previous prime is 5885147. The next prime is 5885177. The reversal of 5885152 is 2515885.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 125193 + ... + 125239.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

Almost surely, 25885152 is an apocalyptic number.

5885152 is a gapful number since it is divisible by the number (52) 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 5885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136).

5885152 is an abundant number, since it is smaller than the sum of its proper divisors (9017120).

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

5885152 is a wasteful number, since it uses less digits than its factorization.

5885152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 16000, while the sum is 34.

The square root of 5885152 is about 2425.9332224940. The cubic root of 5885152 is about 180.5451783894.

The spelling of 5885152 in words is "five million, eight hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 47 52 56 86 91 94 104 112 172 182 188 208 224 301 329 344 364 376 416 559 602 611 658 688 728 752 1118 1204 1222 1316 1376 1456 1504 2021 2236 2408 2444 2632 2912 3913 4042 4277 4472 4816 4888 5264 7826 8084 8554 8944 9632 9776 10528 14147 15652 16168 17108 17888 19552 26273 28294 31304 32336 34216 52546 56588 62608 64672 68432 105092 113176 125216 136864 183911 210184 226352 367822 420368 452704 735644 840736 1471288 2942576 5885152