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5852832 = 253411487
BaseRepresentation
bin10110010100111010100000
3102000100120120
4112110322200
52444242312
6325240240
7100514436
oct26247240
912010516
105852832
113338357
121b63080
13129c01b
14ac4d56
157a928c
hex594ea0

5852832 has 48 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1902080.

The previous prime is 5852827. The next prime is 5852857. The reversal of 5852832 is 2382585.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5852793 and 5852802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3193 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 25852832 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 5852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5852832 is an abundant number, since it is smaller than the sum of its proper divisors (9896160).

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

5852832 is a wasteful number, since it uses less digits than its factorization.

5852832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 5852832 is about 2419.2626976002. The cubic root of 5852832 is about 180.2140663068.

The spelling of 5852832 in words is "five million, eight hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1487 1968 2974 3936 4461 5948 8922 11896 17844 23792 35688 47584 60967 71376 121934 142752 182901 243868 365802 487736 731604 975472 1463208 1950944 2926416 5852832