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4002048306 = 2321063209159
BaseRepresentation
bin1110111010001010…
…0110100100110010
3101022220120010012100
43232202212210302
531144011021211
61501041441230
7201113564214
oct35642464462
911286503170
104002048306
111774063143
12938340216
134ba18ab29
1429d7285b4
1518652c156
hexee8a6932

4002048306 has 24 divisors (see below), whose sum is σ = 8679303360. Its totient is φ = 1332754776.

The previous prime is 4002048301. The next prime is 4002048311. The reversal of 4002048306 is 6038402004.

4002048306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4002048301) and next prime (4002048311).

It is a self number, because there is not a number n which added to its sum of digits gives 4002048306.

It is not an unprimeable number, because it can be changed into a prime (4002048301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85446 + ... + 123713.

It is an arithmetic number, because the mean of its divisors is an integer number (361637640).

Almost surely, 24002048306 is an apocalyptic number.

4002048306 is an abundant number, since it is smaller than the sum of its proper divisors (4677255054).

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

4002048306 is a wasteful number, since it uses less digits than its factorization.

4002048306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210230 (or 210227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4002048306 is about 63261.7444116110. The cubic root of 4002048306 is about 1587.6719626561.

The spelling of 4002048306 in words is "four billion, two million, forty-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 18 1063 2126 3189 6378 9567 19134 209159 418318 627477 1254954 1882431 3764862 222336017 444672034 667008051 1334016102 2001024153 4002048306