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5522976 = 2532127151
BaseRepresentation
bin10101000100011000100000
3101101121002200
4111010120200
52403213401
6314213200
764641654
oct25043040
911347080
105522976
113132548
121a24200
1311b4b44
14a3aa64
15741686
hex544620

5522976 has 72 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 1814400.

The previous prime is 5522947. The next prime is 5522999. The reversal of 5522976 is 6792255.

5522976 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 52 + 220 + 222 + 92 + 72 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 5522976.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 36501 + ... + 36651.

It is an arithmetic number, because the mean of its divisors is an integer number (221312).

Almost surely, 25522976 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 5522976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

5522976 is an abundant number, since it is smaller than the sum of its proper divisors (10411488).

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

5522976 is a wasteful number, since it uses less digits than its factorization.

5522976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5522976 is about 2350.1012744135. The cubic root of 5522976 is about 176.7628731170.

The spelling of 5522976 in words is "five million, five hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 151 254 288 302 381 453 508 604 762 906 1016 1143 1208 1359 1524 1812 2032 2286 2416 2718 3048 3624 4064 4572 4832 5436 6096 7248 9144 10872 12192 14496 18288 19177 21744 36576 38354 43488 57531 76708 115062 153416 172593 230124 306832 345186 460248 613664 690372 920496 1380744 1840992 2761488 5522976