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83164384 = 25109113211
BaseRepresentation
bin1001111010011…
…11110011100000
312210111012002101
410331033303200
5132242230014
612130300144
72026612522
oct475176340
9183435071
1083164384
1142a426a6
1223a27654
13142ca7c4
14b08ba12
15747b474
hex4f4fce0

83164384 has 48 divisors (see below), whose sum is σ = 167484240. Its totient is φ = 40642560.

The previous prime is 83164381. The next prime is 83164409. The reversal of 83164384 is 48346138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83164381) 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, 394039 + ... + 394249.

It is an arithmetic number, because the mean of its divisors is an integer number (3489255).

Almost surely, 283164384 is an apocalyptic number.

It is an amenable number.

83164384 is an abundant number, since it is smaller than the sum of its proper divisors (84319856).

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

83164384 is a wasteful number, since it uses less digits than its factorization.

83164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 83164384 is about 9119.4508606604. The cubic root of 83164384 is about 436.4948509859.

The spelling of 83164384 in words is "eighty-three million, one hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 109 113 211 218 226 422 436 452 844 872 904 1688 1744 1808 3376 3488 3616 6752 12317 22999 23843 24634 45998 47686 49268 91996 95372 98536 183992 190744 197072 367984 381488 394144 735968 762976 2598887 5197774 10395548 20791096 41582192 83164384