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83378523 = 31735657
BaseRepresentation
bin1001111100001…
…00000101011011
312210220001211110
410332010011123
5132321103043
612135031403
72031464034
oct476040533
9183801743
1083378523
1143079578
1223b0b563
1314374107
14b105a8b
1574beb33
hex4f8415b

83378523 has 16 divisors (see below), whose sum is σ = 118139040. Its totient is φ = 52306688.

The previous prime is 83378513. The next prime is 83378527. The reversal of 83378523 is 32587338.

It is not a de Polignac number, because 83378523 - 24 = 83378507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83378527) 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 15 ways as a sum of consecutive naturals, for example, 11911 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (7383690).

Almost surely, 283378523 is an apocalyptic number.

83378523 is a deficient number, since it is larger than the sum of its proper divisors (34760517).

83378523 is an equidigital number, since it uses as much as digits as its factorization.

83378523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5677 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 83378523 is about 9131.1840962714. The cubic root of 83378523 is about 436.8691717209.

The spelling of 83378523 in words is "eighty-three million, three hundred seventy-eight thousand, five hundred twenty-three".

Divisors: 1 3 17 51 289 867 4913 5657 14739 16971 96169 288507 1634873 4904619 27792841 83378523