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5072896 = 2112477
BaseRepresentation
bin10011010110100000000000
3100112201201001
4103112200000
52244313041
6300421344
761055533
oct23264000
910481631
105072896
112955384
121847854
13108801a
14960a1a
156a3131
hex4d6800

5072896 has 24 divisors (see below), whose sum is σ = 10147410. Its totient is φ = 2535424.

The previous prime is 5072891. The next prime is 5072897. The reversal of 5072896 is 6982705.

It can be written as a sum of positive squares in only one way, i.e., 4326400 + 746496 = 2080^2 + 864^2 .

It is not an unprimeable number, because it can be changed into a prime (5072891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 810 + ... + 3286.

Almost surely, 25072896 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 5072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073705).

5072896 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

5072896 is an equidigital number, since it uses as much as digits as its factorization.

5072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 5072896 is about 2252.3090374103. The cubic root of 5072896 is about 171.8245913219.

It can be divided in two parts, 507 and 2896, that added together give a triangular number (3403 = T82).

The spelling of 5072896 in words is "five million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2477 4954 9908 19816 39632 79264 158528 317056 634112 1268224 2536448 5072896