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4523928001 = 97120138833
BaseRepresentation
bin1000011011010010…
…11010100111000001
3102200021120100112221
410031221122213001
533231111144001
62024523251041
7220051516315
oct41551324701
912607510487
104523928001
111a1170407a
12a63079a81
13571333a98
1430cb77b45
151b72681a1
hex10da5a9c1

4523928001 has 8 divisors (see below), whose sum is σ = 4574489864. Its totient is φ = 4473446400.

The previous prime is 4523927999. The next prime is 4523928011. The reversal of 4523928001 is 1008293254.

4523928001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118287376 + 4405640625 = 10876^2 + 66375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(4523928001) divides (4523928001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 4523928001 - 21 = 4523927999 is a prime.

It is a deceptive number, since it divides R4523928000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4523928011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97081 + ... + 135913.

It is an arithmetic number, because the mean of its divisors is an integer number (571811233).

It is a Poulet number, since it divides 24523928000-1.

Almost surely, 24523928001 is an apocalyptic number.

4523928001 is the 38833-rd octagonal number.

It is an amenable number.

4523928001 is a deficient number, since it is larger than the sum of its proper divisors (50561863).

4523928001 is a wasteful number, since it uses less digits than its factorization.

4523928001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40131.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 4523928001 is about 67260.1516575751. The cubic root of 4523928001 is about 1653.8846945407.

The spelling of 4523928001 in words is "four billion, five hundred twenty-three million, nine hundred twenty-eight thousand, one".

Divisors: 1 97 1201 38833 116497 3766801 46638433 4523928001