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2441941056 = 2632292712
BaseRepresentation
bin1001000110001101…
…0001000001000000
320022011221110101100
42101203101001000
520000114103211
61042151134400
7114341104452
oct22143210100
96264843340
102441941056
111043459505
12581974400
132cbbb1b49
1419245a2d2
15e45ad156
hex918d1040

2441941056 has 189 divisors, whose sum is σ = 7352601373. Its totient is φ = 774842880.

The previous prime is 2441941049. The next prime is 2441941057. The reversal of 2441941056 is 6501491442.

The square root of 2441941056 is 49416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1280494656 + 1161446400 = 35784^2 + 34080^2 .

It is a super-2 number, since 2×24419410562 = 11926152241956790272, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2441941056.

It is not an unprimeable number, because it can be changed into a prime (2441941057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34393501 + ... + 34393571.

Almost surely, 22441941056 is an apocalyptic number.

2441941056 is the 49416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441941056

2441941056 is an abundant number, since it is smaller than the sum of its proper divisors (4910660317).

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

2441941056 is an equidigital number, since it uses as much as digits as its factorization.

2441941056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 2441941056 is about 1346.6199955506.

Multiplying 2441941056 by its sum of digits (36), we get a square (87909878016 = 2964962).

2441941056 divided by its sum of digits (36) gives a square (67831696 = 82362).

The spelling of 2441941056 in words is "two billion, four hundred forty-one million, nine hundred forty-one thousand, fifty-six".