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5303808 = 29321151
BaseRepresentation
bin10100001110111000000000
3100222110110100
4110032320000
52324210213
6305402400
763036666
oct24167000
910873410
105303808
112aa2914
121939400
131139163
149c0c36
156eb773
hex50ee00

5303808 has 60 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1766400.

The previous prime is 5303807. The next prime is 5303819. The reversal of 5303808 is 8083035.

It is a Cunningham number, because it is equal to 23032-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303807) 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, 4033 + ... + 5183.

Almost surely, 25303808 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 5303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

5303808 is an abundant number, since it is smaller than the sum of its proper divisors (10016640).

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

5303808 is a wasteful number, since it uses less digits than its factorization.

5303808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5303808 is about 2302.9997828919. Note that the first 3 decimals coincide. The cubic root of 5303808 is about 174.3930867276.

It can be divided in two parts, 5303 and 808, that multiplied together give a palindrome (4284824).

The spelling of 5303808 in words is "five million, three hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1151 1152 1536 2302 2304 3453 4604 4608 6906 9208 10359 13812 18416 20718 27624 36832 41436 55248 73664 82872 110496 147328 165744 220992 294656 331488 441984 589312 662976 883968 1325952 1767936 2651904 5303808