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5883072 = 263132357
BaseRepresentation
bin10110011100010011000000
3102001220001120
4112130103000
53001224242
6330032240
7101001546
oct26342300
912056046
105883072
113359048
121b78680
1312aca10
14ad1d96
157b31ec
hex59c4c0

5883072 has 56 divisors (see below), whose sum is σ = 16770096. Its totient is φ = 1809408.

The previous prime is 5883029. The next prime is 5883077. The reversal of 5883072 is 2703885.

It is a super-2 number, since 2×58830722 = 69221072314368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5883077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (299466).

Almost surely, 25883072 is an apocalyptic number.

5883072 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 5883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385048).

5883072 is an abundant number, since it is smaller than the sum of its proper divisors (10887024).

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

5883072 is a wasteful number, since it uses less digits than its factorization.

5883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5883072 is about 2425.5044836075. The cubic root of 5883072 is about 180.5239057458.

It can be divided in two parts, 588 and 3072, that multiplied together give a square (1806336 = 13442).

The spelling of 5883072 in words is "five million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2357 2496 4714 7071 9428 14142 18856 28284 30641 37712 56568 61282 75424 91923 113136 122564 150848 183846 226272 245128 367692 452544 490256 735384 980512 1470768 1961024 2941536 5883072