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742800083 = 3171349967
BaseRepresentation
bin101100010001100…
…011101011010011
31220202201011011012
4230101203223103
53010124100313
6201412441135
724256460624
oct5421435323
91822634135
10742800083
11351322773
121889191ab
13bab7659c
1470919a4b
1545328da8
hex2c463ad3

742800083 has 16 divisors (see below), whose sum is σ = 780595200. Its totient is φ = 705952800.

The previous prime is 742800073. The next prime is 742800109. The reversal of 742800083 is 380008247.

742800083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-742800083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742800043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767666 + ... + 768632.

It is an arithmetic number, because the mean of its divisors is an integer number (48787200).

Almost surely, 2742800083 is an apocalyptic number.

742800083 is a deficient number, since it is larger than the sum of its proper divisors (37795117).

742800083 is a wasteful number, since it uses less digits than its factorization.

742800083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 742800083 is about 27254.3589724653. The cubic root of 742800083 is about 905.6435836028.

The spelling of 742800083 in words is "seven hundred forty-two million, eight hundred thousand, eighty-three".

Divisors: 1 31 71 349 967 2201 10819 24779 29977 68657 337483 768149 2128367 10461973 23961293 742800083