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4442246028 = 22321125743649
BaseRepresentation
bin1000010001100011…
…10100101110001100
3102110120212110221200
410020301310232030
533044203333103
62012444425500
7215040316413
oct41061645614
912416773850
104442246028
11197a594210
12a3b848290
1355a434c5c
14301d9447a
151aeed10a3
hex108c74b8c

4442246028 has 72 divisors (see below), whose sum is σ = 12297776400. Its totient is φ = 1340866560.

The previous prime is 4442246023. The next prime is 4442246033. The reversal of 4442246028 is 8206422444.

It is a happy number.

4442246028 is a `hidden beast` number, since 4 + 4 + 42 + 2 + 4 + 602 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4442246023) and next prime (4442246033).

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

It is a junction number, because it is equal to n+sod(n) for n = 4442245983 and 4442246001.

It is not an unprimeable number, because it can be changed into a prime (4442246023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79948 + ... + 123596.

It is an arithmetic number, because the mean of its divisors is an integer number (170802450).

Almost surely, 24442246028 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 4442246028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148888200).

4442246028 is an abundant number, since it is smaller than the sum of its proper divisors (7855530372).

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

4442246028 is a wasteful number, since it uses less digits than its factorization.

4442246028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43927 (or 43922 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4442246028 is about 66650.1765038923. The cubic root of 4442246028 is about 1643.8702501184.

The spelling of 4442246028 in words is "four billion, four hundred forty-two million, two hundred forty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2827 3084 4626 5654 8481 9252 11308 16962 25443 33924 43649 50886 87298 101772 130947 174596 261894 392841 480139 523788 785682 960278 1440417 1571364 1920556 2880834 4321251 5761668 8642502 11217793 17285004 22435586 33653379 44871172 67306758 100960137 123395723 134613516 201920274 246791446 370187169 403840548 493582892 740374338 1110561507 1480748676 2221123014 4442246028