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84933948 = 22311643439
BaseRepresentation
bin1010000111111…
…11110100111100
312220211002110210
411003333310330
5133220341243
612232232420
72050632561
oct503776474
9186732423
1084933948
1143a41150
122453b710
131479a098
14b3cc868
1576ca933
hex50ffd3c

84933948 has 24 divisors (see below), whose sum is σ = 216195840. Its totient is φ = 25737520.

The previous prime is 84933929. The next prime is 84933973.

84933948 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84933897 and 84933906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321588 + ... + 321851.

It is an arithmetic number, because the mean of its divisors is an integer number (9008160).

Almost surely, 284933948 is an apocalyptic number.

It is an amenable number.

84933948 is an abundant number, since it is smaller than the sum of its proper divisors (131261892).

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

84933948 is a wasteful number, since it uses less digits than its factorization.

84933948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643457 (or 643455 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 84933948 is about 9215.9615884616. The cubic root of 84933948 is about 439.5690477442.

The spelling of 84933948 in words is "eighty-four million, nine hundred thirty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 643439 1286878 1930317 2573756 3860634 7077829 7721268 14155658 21233487 28311316 42466974 84933948