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5506752 = 263232943
BaseRepresentation
bin10101000000011011000000
3101100202211210
4111000123000
52402204002
6314010120
764543446
oct25003300
911322753
105506752
113121339
121a16940
1311aa644
14a34b96
1573b96c
hex5406c0

5506752 has 112 divisors (see below), whose sum is σ = 16093440. Its totient is φ = 1655808.

The previous prime is 5506733. The next prime is 5506769. The reversal of 5506752 is 2576055.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128043 + ... + 128085.

Almost surely, 25506752 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 5506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046720).

5506752 is an abundant number, since it is smaller than the sum of its proper divisors (10586688).

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

5506752 is a wasteful number, since it uses less digits than its factorization.

5506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 5506752 is about 2346.6469696143. The cubic root of 5506752 is about 176.5896202943.

The spelling of 5506752 in words is "five million, five hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 43 46 48 58 64 69 86 87 92 96 116 129 138 172 174 184 192 232 258 276 344 348 368 464 516 552 667 688 696 736 928 989 1032 1104 1247 1334 1376 1392 1472 1856 1978 2001 2064 2208 2494 2668 2752 2784 2967 3741 3956 4002 4128 4416 4988 5336 5568 5934 7482 7912 8004 8256 9976 10672 11868 14964 15824 16008 19952 21344 23736 28681 29928 31648 32016 39904 42688 47472 57362 59856 63296 64032 79808 86043 94944 114724 119712 128064 172086 189888 229448 239424 344172 458896 688344 917792 1376688 1835584 2753376 5506752