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5072844 = 2237131461
BaseRepresentation
bin10011010110011111001100
3100112201122010
4103112133030
52244312334
6300421220
761055430
oct23263714
910481563
105072844
112955337
121847810
131087caa
149609c0
156a30e9
hex4d67cc

5072844 has 48 divisors (see below), whose sum is σ = 13660416. Its totient is φ = 1435200.

The previous prime is 5072831. The next prime is 5072863. The reversal of 5072844 is 4482705.

5072844 = T61 + T62 + ... + T312.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10774 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (284592).

Almost surely, 25072844 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 5072844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830208).

5072844 is an abundant number, since it is smaller than the sum of its proper divisors (8587572).

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

5072844 is a wasteful number, since it uses less digits than its factorization.

5072844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5072844 is about 2252.2974936717. The cubic root of 5072844 is about 171.8240042208.

The spelling of 5072844 in words is "five million, seventy-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 461 524 786 917 922 1383 1572 1834 1844 2751 2766 3227 3668 5502 5532 6454 9681 11004 12908 19362 38724 60391 120782 181173 241564 362346 422737 724692 845474 1268211 1690948 2536422 5072844