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4409089201 = 1137411631621
BaseRepresentation
bin1000001101100110…
…10101110010110001
3102101021110221100001
410012303111302301
533012211323301
62005302030001
7214155432316
oct40663256261
912337427301
104409089201
1119628a7a80
12a30718301
135535c612a
142db802d0d
151ac131c01
hex106cd5cb1

4409089201 has 32 divisors (see below), whose sum is σ = 5094585216. Its totient is φ = 3779136000.

The previous prime is 4409089193. The next prime is 4409089207. The reversal of 4409089201 is 1029809044.

It is a happy number.

It is a 3-Lehmer number, since φ(4409089201) divides (4409089201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 4409089201 - 23 = 4409089193 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R4409089200.

It is not an unprimeable number, because it can be changed into a prime (4409089207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719171 + ... + 2720791.

It is an arithmetic number, because the mean of its divisors is an integer number (159205788).

It is a Poulet number, since it divides 24409089200-1.

Almost surely, 24409089201 is an apocalyptic number.

4409089201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4409089201 is a deficient number, since it is larger than the sum of its proper divisors (685496015).

4409089201 is a wasteful number, since it uses less digits than its factorization.

4409089201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 4409089201 is about 66400.9728919690. The cubic root of 4409089201 is about 1639.7700948045.

The spelling of 4409089201 in words is "four billion, four hundred nine million, eighty-nine thousand, two hundred one".

Divisors: 1 11 37 41 163 407 451 1517 1621 1793 6031 6683 16687 17831 59977 66341 66461 73513 247271 264223 659747 731071 2459057 2719981 2906453 9776251 10833143 27049627 107538761 119164573 400826291 4409089201