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4949890560 = 2935573109
BaseRepresentation
bin1001001110000100…
…10101011000000000
3110202222002111100000
410213002111120000
540114132444220
62135101200000
7233443242546
oct44702253000
913688074300
104949890560
1121100a204a
12b61860000
1360b665734
1434d579d96
151de859390
hex127095600

4949890560 has 480 divisors, whose sum is σ = 18186648480. Its totient is φ = 1289945088.

The previous prime is 4949890541. The next prime is 4949890573. The reversal of 4949890560 is 650989494.

4949890560 is a `hidden beast` number, since 4 + 9 + 498 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×49498905602 = 49002833111954227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4949890497 and 4949890506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45411786 + ... + 45411894.

It is an arithmetic number, because the mean of its divisors is an integer number (37888851).

Almost surely, 24949890560 is an apocalyptic number.

4949890560 is a gapful number since it is divisible by the number (40) 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 4949890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9093324240).

4949890560 is an abundant number, since it is smaller than the sum of its proper divisors (13236757920).

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

4949890560 is an equidigital number, since it uses as much as digits as its factorization.

4949890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4949890560 is about 70355.4586368393. The cubic root of 4949890560 is about 1704.2443609091.

The spelling of 4949890560 in words is "four billion, nine hundred forty-nine million, eight hundred ninety thousand, five hundred sixty".