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4032266401 = 293741151607
BaseRepresentation
bin1111000001010111…
…1000000010100001
3101102000102100122001
43300111320002201
531224230011101
61504041244001
7201631461502
oct36025700241
911360370561
104032266401
11178a122479
12946493601
134c350b167
142a3752ba9
15188eea901
hexf05780a1

4032266401 has 32 divisors (see below), whose sum is σ = 4424878080. Its totient is φ = 3665088000.

The previous prime is 4032266389. The next prime is 4032266411. The reversal of 4032266401 is 1046622304.

It is a cyclic number.

It is not a de Polignac number, because 4032266401 - 25 = 4032266369 is a prime.

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 4032266401.

It is not an unprimeable number, because it can be changed into a prime (4032266411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6642640 + ... + 6643246.

It is an arithmetic number, because the mean of its divisors is an integer number (138277440).

Almost surely, 24032266401 is an apocalyptic number.

4032266401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4032266401 is a deficient number, since it is larger than the sum of its proper divisors (392611679).

4032266401 is a wasteful number, since it uses less digits than its factorization.

4032266401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4032266401 is about 63500.1291416010. The cubic root of 4032266401 is about 1591.6579361174.

Adding to 4032266401 its reverse (1046622304), we get a palindrome (5078888705).

The spelling of 4032266401 in words is "four billion, thirty-two million, two hundred sixty-six thousand, four hundred one".

Divisors: 1 29 37 41 151 607 1073 1189 1517 4379 5587 6191 17603 22459 24887 43993 91657 162023 179539 229067 651311 721723 920819 2658053 3391309 3757937 6642943 26703751 98347961 108980173 139043669 4032266401