Search a number
-
+
4442882444 = 22711131109611
BaseRepresentation
bin1000010001101000…
…10000000110001100
3102110122001210221122
410020310100012030
533044334214234
62012510220112
7215045610020
oct41064200614
912418053848
104442882444
11197a989380
12a3bab4638
1355a5c8830
143020bc380
151b00a992e
hex108d1018c

4442882444 has 48 divisors (see below), whose sum is σ = 10439229696. Its totient is φ = 1597838400.

The previous prime is 4442882417. The next prime is 4442882453.

4442882444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44428824442 = 39478408822406826272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4442882395 and 4442882404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550802 + ... + 558809.

It is an arithmetic number, because the mean of its divisors is an integer number (217483952).

Almost surely, 24442882444 is an apocalyptic number.

4442882444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4442882444 is an abundant number, since it is smaller than the sum of its proper divisors (5996347252).

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

4442882444 is a wasteful number, since it uses less digits than its factorization.

4442882444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109646 (or 1109644 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 44.

The square root of 4442882444 is about 66654.9506338426. The cubic root of 4442882444 is about 1643.9487491004.

The spelling of 4442882444 in words is "four billion, four hundred forty-two million, eight hundred eighty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 1109611 2219222 4438444 7767277 12205721 14424943 15534554 24411442 28849886 31069108 48822884 57699772 85440047 100974601 158674373 170880094 201949202 317348746 341760188 403898404 634697492 1110720611 2221441222 4442882444