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83372742 = 2326177507
BaseRepresentation
bin1001111100000…
…10101011000110
312210212202220100
410332002223012
5132320411432
612134544530
72031441135
oct476025306
9183782810
1083372742
11430751a2
1223b08146
13143715ab
14b10391c
1574bd07c
hex4f82ac6

83372742 has 24 divisors (see below), whose sum is σ = 180957816. Its totient is φ = 27742176.

The previous prime is 83372713. The next prime is 83372747. The reversal of 83372742 is 24727338.

It is a junction number, because it is equal to n+sod(n) for n = 83372697 and 83372706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83372747) 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 11 ways as a sum of consecutive naturals, for example, 7353 + ... + 14859.

It is an arithmetic number, because the mean of its divisors is an integer number (7539909).

Almost surely, 283372742 is an apocalyptic number.

83372742 is an abundant number, since it is smaller than the sum of its proper divisors (97585074).

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

83372742 is a wasteful number, since it uses less digits than its factorization.

83372742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8129 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 83372742 is about 9130.8675381915. The cubic root of 83372742 is about 436.8590748000.

The spelling of 83372742 in words is "eighty-three million, three hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 617 1234 1851 3702 5553 7507 11106 15014 22521 45042 67563 135126 4631819 9263638 13895457 27790914 41686371 83372742