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5905728 = 263210253
BaseRepresentation
bin10110100001110101000000
3102010001010200
4112201311000
53002440403
6330325200
7101124603
oct26416500
912101120
105905728
113374074
121b89800
1312ba11a
14ada33a
157b9ca3
hex5a1d40

5905728 has 42 divisors (see below), whose sum is σ = 16929354. Its totient is φ = 1968384.

The previous prime is 5905727. The next prime is 5905769. The reversal of 5905728 is 8275095.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 1937664 = 1992^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5905692 and 5905701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4551 + ... + 5702.

Almost surely, 25905728 is an apocalyptic number.

It is an amenable number.

5905728 is an abundant number, since it is smaller than the sum of its proper divisors (11023626).

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

5905728 is a wasteful number, since it uses less digits than its factorization.

5905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5905728 is about 2430.1703643983. The cubic root of 5905728 is about 180.7553443895.

The spelling of 5905728 in words is "five million, nine hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10253 20506 30759 41012 61518 82024 92277 123036 164048 184554 246072 328096 369108 492144 656192 738216 984288 1476432 1968576 2952864 5905728