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83430981 = 3261151969
BaseRepresentation
bin1001111100100…
…00111001000101
312210222201210100
410332100321011
5132324242411
612140114313
72032103004
oct476207105
9183881710
1083430981
1143104a27
1223b35999
1314391c5a
14b11ac3b
1574d0456
hex4f90e45

83430981 has 12 divisors (see below), whose sum is σ = 122487820. Its totient is φ = 54708480.

The previous prime is 83430979. The next prime is 83430989. The reversal of 83430981 is 18903438.

It can be written as a sum of positive squares in 2 ways, for example, as 30636225 + 52794756 = 5535^2 + 7266^2 .

It is not a de Polignac number, because 83430981 - 21 = 83430979 is a prime.

It is a super-2 number, since 2×834309812 = 13921457181244722, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83430989) 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, 75436 + ... + 76533.

Almost surely, 283430981 is an apocalyptic number.

It is an amenable number.

83430981 is a deficient number, since it is larger than the sum of its proper divisors (39056839).

83430981 is a wasteful number, since it uses less digits than its factorization.

83430981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152036 (or 152033 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83430981 is about 9134.0561088708. The cubic root of 83430981 is about 436.9607719624.

The spelling of 83430981 in words is "eighty-three million, four hundred thirty thousand, nine hundred eighty-one".

Divisors: 1 3 9 61 183 549 151969 455907 1367721 9270109 27810327 83430981