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83389005 = 32571913933
BaseRepresentation
bin1001111100001…
…10101001001101
312210220121012200
410332012221031
5132321422010
612135152113
72031536430
oct476065115
9183817180
1083389005
1143086437
1223b15639
1314378b0b
14b109817
1574c2cc0
hex4f86a4d

83389005 has 48 divisors (see below), whose sum is σ = 173896320. Its totient is φ = 36111744.

The previous prime is 83389001. The next prime is 83389051. The reversal of 83389005 is 50098338.

It is not a de Polignac number, because 83389005 - 22 = 83389001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83389001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982 + ... + 12951.

It is an arithmetic number, because the mean of its divisors is an integer number (3622840).

Almost surely, 283389005 is an apocalyptic number.

It is an amenable number.

83389005 is an abundant number, since it is smaller than the sum of its proper divisors (90507315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83389005 is a wasteful number, since it uses less digits than its factorization.

83389005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13970 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83389005 is about 9131.7580454149. The cubic root of 83389005 is about 436.8874780769.

The spelling of 83389005 in words is "eighty-three million, three hundred eighty-nine thousand, five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 13933 41799 69665 97531 125397 208995 264727 292593 487655 626985 794181 877779 1323635 1462965 1853089 2382543 3970905 4388895 5559267 9265445 11912715 16677801 27796335 83389005