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83444312 = 2373171677
BaseRepresentation
bin1001111100101…
…00001001011000
312211000102002002
410332110021120
5132330204222
612140300132
72032156610
oct476241130
9184012062
1083444312
1143113a46
1223b41648
1314398043
14b121a40
1574d4392
hex4f94258

83444312 has 64 divisors (see below), whose sum is σ = 187453440. Its totient is φ = 34070400.

The previous prime is 83444297. The next prime is 83444323. The reversal of 83444312 is 21344438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122918 + ... + 123594.

It is an arithmetic number, because the mean of its divisors is an integer number (2928960).

Almost surely, 283444312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93726720).

83444312 is an abundant number, since it is smaller than the sum of its proper divisors (104009128).

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

83444312 is a wasteful number, since it uses less digits than its factorization.

83444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 83444312 is about 9134.7858212440. The cubic root of 83444312 is about 436.9840439482.

The spelling of 83444312 in words is "eighty-three million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 71 124 142 217 248 284 434 497 568 677 868 994 1354 1736 1988 2201 2708 3976 4402 4739 5416 8804 9478 15407 17608 18956 20987 30814 37912 41974 48067 61628 83948 96134 123256 146909 167896 192268 293818 336469 384536 587636 672938 1175272 1345876 1490077 2691752 2980154 5960308 10430539 11920616 20861078 41722156 83444312