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5083456 = 26721621
BaseRepresentation
bin10011011001000101000000
3100120021012011
4103121011000
52300132311
6300542304
761131400
oct23310500
910507164
105083456
112962304
121851994
13108ca81
14964800
156a6321
hex4d9140

5083456 has 42 divisors (see below), whose sum is σ = 11741658. Its totient is φ = 2177280.

The previous prime is 5083453. The next prime is 5083471. The reversal of 5083456 is 6543805.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 313600 = 2184^2 + 560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083451) 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, 2326 + ... + 3946.

Almost surely, 25083456 is an apocalyptic number.

5083456 is a gapful number since it is divisible by the number (56) 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 5083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870829).

5083456 is an abundant number, since it is smaller than the sum of its proper divisors (6658202).

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

5083456 is a wasteful number, since it uses less digits than its factorization.

5083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5083456 is about 2254.6520795901. The cubic root of 5083456 is about 171.9437349767.

The spelling of 5083456 in words is "five million, eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1621 3136 3242 6484 11347 12968 22694 25936 45388 51872 79429 90776 103744 158858 181552 317716 363104 635432 726208 1270864 2541728 5083456