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83726741 = 722958921
BaseRepresentation
bin1001111110110…
…01000110010101
312211112202111102
410333121012111
5132413223431
612150315445
72034444200
oct477310625
9184482442
1083726741
114329715a
1224058b85
1314466767
14b196937
15753cdcb
hex4fd9195

83726741 has 12 divisors (see below), whose sum is σ = 100756620. Its totient is φ = 69289920.

The previous prime is 83726729. The next prime is 83726761. The reversal of 83726741 is 14762738.

It can be written as a sum of positive squares in 2 ways, for example, as 32547025 + 51179716 = 5705^2 + 7154^2 .

It is not a de Polignac number, because 83726741 - 214 = 83710357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83726695 and 83726704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83726701) 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, 28040 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (8396385).

Almost surely, 283726741 is an apocalyptic number.

It is an amenable number.

83726741 is a deficient number, since it is larger than the sum of its proper divisors (17029879).

83726741 is a wasteful number, since it uses less digits than its factorization.

83726741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58964 (or 58957 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 83726741 is about 9150.2317456991. The cubic root of 83726741 is about 437.4765000711.

The spelling of 83726741 in words is "eighty-three million, seven hundred twenty-six thousand, seven hundred forty-one".

Divisors: 1 7 29 49 203 1421 58921 412447 1708709 2887129 11960963 83726741