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83378945 = 513372937
BaseRepresentation
bin1001111100001…
…00001100000001
312210220002102002
410332010030001
5132321111240
612135033345
72031465206
oct476041401
9183802362
1083378945
1143079921
1223b0b855
1314374370
14b105cad
1574bed15
hex4f84301

83378945 has 24 divisors (see below), whose sum is σ = 110860344. Its totient is φ = 59844096.

The previous prime is 83378927. The next prime is 83378947. The reversal of 83378945 is 54987338.

It can be written as a sum of positive squares in 12 ways, for example, as 17833729 + 65545216 = 4223^2 + 8096^2 .

It is not a de Polignac number, because 83378945 - 226 = 16270081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83378945.

It is not an unprimeable number, because it can be changed into a prime (83378947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88517 + ... + 89453.

It is an arithmetic number, because the mean of its divisors is an integer number (4619181).

Almost surely, 283378945 is an apocalyptic number.

It is an amenable number.

83378945 is a deficient number, since it is larger than the sum of its proper divisors (27481399).

83378945 is a wasteful number, since it uses less digits than its factorization.

83378945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 992 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 83378945 is about 9131.2072038696. The cubic root of 83378945 is about 436.8699087552.

The spelling of 83378945 in words is "eighty-three million, three hundred seventy-eight thousand, nine hundred forty-five".

Divisors: 1 5 13 37 65 185 481 937 1369 2405 4685 6845 12181 17797 34669 60905 88985 173345 450697 1282753 2253485 6413765 16675789 83378945