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83326968 = 2334128591
BaseRepresentation
bin1001111011101…
…11011111111000
312210210110010000
410331313133320
5132312430333
612133553000
72031160524
oct475673770
9183713100
1083326968
114304386a
1223aa5760
13143567ca
14b0d0d84
1574ae713
hex4f777f8

83326968 has 40 divisors (see below), whose sum is σ = 233394480. Its totient is φ = 27775440.

The previous prime is 83326961. The next prime is 83326981. The reversal of 83326968 is 86962338.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83326961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63648 + ... + 64943.

It is an arithmetic number, because the mean of its divisors is an integer number (5834862).

Almost surely, 283326968 is an apocalyptic number.

It is an amenable number.

83326968 is an abundant number, since it is smaller than the sum of its proper divisors (150067512).

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

83326968 is a wasteful number, since it uses less digits than its factorization.

83326968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128609 (or 128596 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83326968 is about 9128.3606414295. The cubic root of 83326968 is about 436.7791108233.

It can be divided in two parts, 8 and 3326968, that added together give a square (3326976 = 18242).

The spelling of 83326968 in words is "eighty-three million, three hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 128591 257182 385773 514364 771546 1028728 1157319 1543092 2314638 3086184 3471957 4629276 6943914 9258552 10415871 13887828 20831742 27775656 41663484 83326968