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83361629 = 1337173309
BaseRepresentation
bin1001111011111…
…11111101011101
312210212012122202
410331333331131
5132320033004
612134421245
72031363551
oct475777535
9183765582
1083361629
114306790a
1223b01825
1314369510
14b0dd861
1574b9b1e
hex4f7ff5d

83361629 has 8 divisors (see below), whose sum is σ = 92200920. Its totient is φ = 74869056.

The previous prime is 83361613. The next prime is 83361643. The reversal of 83361629 is 92616338.

It can be written as a sum of positive squares in 4 ways, for example, as 4418404 + 78943225 = 2102^2 + 8885^2 .

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

It is not a de Polignac number, because 83361629 - 24 = 83361613 is a prime.

It is a super-2 number, since 2×833616292 = 13898322379067282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83361592 and 83361601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83361679) 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, 86174 + ... + 87135.

It is an arithmetic number, because the mean of its divisors is an integer number (11525115).

Almost surely, 283361629 is an apocalyptic number.

It is an amenable number.

83361629 is a deficient number, since it is larger than the sum of its proper divisors (8839291).

83361629 is a wasteful number, since it uses less digits than its factorization.

83361629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173359.

The product of its digits is 46656, while the sum is 38.

The square root of 83361629 is about 9130.2589777070. The cubic root of 83361629 is about 436.8396638571.

The spelling of 83361629 in words is "eighty-three million, three hundred sixty-one thousand, six hundred twenty-nine".

Divisors: 1 13 37 481 173309 2253017 6412433 83361629