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83640901 = 1729169657
BaseRepresentation
bin1001111110001…
…00001001000101
312211101101202011
410333010021011
5132403002101
612144414221
72033636011
oct477041105
9184341664
1083640901
1143238713
1224017371
1314436676
14b173541
157522751
hex4fc4245

83640901 has 8 divisors (see below), whose sum is σ = 91615320. Its totient is φ = 76005888.

The previous prime is 83640847. The next prime is 83640923. The reversal of 83640901 is 10904638.

It can be written as a sum of positive squares in 4 ways, for example, as 24750625 + 58890276 = 4975^2 + 7674^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83640901 - 27 = 83640773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83649901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84336 + ... + 85321.

It is an arithmetic number, because the mean of its divisors is an integer number (11451915).

Almost surely, 283640901 is an apocalyptic number.

It is an amenable number.

83640901 is a deficient number, since it is larger than the sum of its proper divisors (7974419).

83640901 is a wasteful number, since it uses less digits than its factorization.

83640901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169703.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 83640901 is about 9145.5399512549. The cubic root of 83640901 is about 437.3269428200.

The spelling of 83640901 in words is "eighty-three million, six hundred forty thousand, nine hundred one".

Divisors: 1 17 29 493 169657 2884169 4920053 83640901