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4976080 = 24562201
BaseRepresentation
bin10010111110110111010000
3100100210220021
4102332313100
52233213310
6254353224
760203344
oct22766720
910323807
104976080
11289966a
1217bb814
131052c35
14937624
156845da
hex4bedd0

4976080 has 20 divisors (see below), whose sum is σ = 11569572. Its totient is φ = 1990400.

The previous prime is 4976063. The next prime is 4976107. The reversal of 4976080 is 806794.

It can be written as a sum of positive squares in 2 ways, for example, as 1008016 + 3968064 = 1004^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×49760802 = 49522744332800, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 31021 + ... + 31180.

Almost surely, 24976080 is an apocalyptic number.

4976080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4976080 is an abundant number, since it is smaller than the sum of its proper divisors (6593492).

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

4976080 is a wasteful number, since it uses less digits than its factorization.

4976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62214 (or 62208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4976080 is about 2230.7128905352. The cubic root of 4976080 is about 170.7244745036.

Subtracting from 4976080 its product of nonzero digits (12096), we obtain a square (4963984 = 22282).

The spelling of 4976080 in words is "four million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 62201 124402 248804 311005 497608 622010 995216 1244020 2488040 4976080