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83906473 = 725332309
BaseRepresentation
bin1010000000001…
…00111110101001
312211212220001011
411000010332221
5132440001343
612154223521
72036123200
oct500047651
9184786034
1083906473
11433aa1a2
1224124ba1
13144ca501
14b202237
15757629d
hex5004fa9

83906473 has 12 divisors (see below), whose sum is σ = 99450180. Its totient is φ = 70560672.

The previous prime is 83906467. The next prime is 83906479. The reversal of 83906473 is 37460938.

It is an interprime number because it is at equal distance from previous prime (83906467) and next prime (83906479).

It can be written as a sum of positive squares in 2 ways, for example, as 70090384 + 13816089 = 8372^2 + 3717^2 .

It is a de Polignac number, because none of the positive numbers 2k-83906473 is a prime.

It is a super-2 number, since 2×839064732 = 14080592422599458, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83906479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13558 + ... + 18751.

It is an arithmetic number, because the mean of its divisors is an integer number (8287515).

Almost surely, 283906473 is an apocalyptic number.

It is an amenable number.

83906473 is a deficient number, since it is larger than the sum of its proper divisors (15543707).

83906473 is a wasteful number, since it uses less digits than its factorization.

83906473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32376 (or 32369 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 83906473 is about 9160.0476527145. The cubic root of 83906473 is about 437.7893126394.

The spelling of 83906473 in words is "eighty-three million, nine hundred six thousand, four hundred seventy-three".

Divisors: 1 7 49 53 371 2597 32309 226163 1583141 1712377 11986639 83906473