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842138003 = 78311091307
BaseRepresentation
bin110010001100100…
…000000110010011
32011200122001011102
4302030200012103
53211041404003
6215321535015
726604024560
oct6214400623
92150561142
10842138003
113a2401823
121b604446b
13105617915
147dbb7867
154ddec588
hex32320193

842138003 has 16 divisors (see below), whose sum is σ = 975663360. Its totient is φ = 711947616.

The previous prime is 842137999. The next prime is 842138009. The reversal of 842138003 is 300831248.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 842138003 - 22 = 842137999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (842138009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643676 + ... + 644982.

It is an arithmetic number, because the mean of its divisors is an integer number (60978960).

Almost surely, 2842138003 is an apocalyptic number.

842138003 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

842138003 is a deficient number, since it is larger than the sum of its proper divisors (133525357).

842138003 is a wasteful number, since it uses less digits than its factorization.

842138003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 842138003 is about 29019.6141083923. The cubic root of 842138003 is about 944.3386292763.

The spelling of 842138003 in words is "eight hundred forty-two million, one hundred thirty-eight thousand, three".

Divisors: 1 7 83 581 1109 1307 7763 9149 92047 108481 644329 759367 1449463 10146241 120305429 842138003