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83439384 = 2337539371
BaseRepresentation
bin1001111100100…
…10111100011000
312211000011022120
410332102330120
5132330030014
612140221240
72032136340
oct476227430
9184004276
1083439384
1143110276
1223b3a820
1314395a22
14b11dd20
1574d2ba9
hex4f92f18

83439384 has 64 divisors (see below), whose sum is σ = 242922240. Its totient is φ = 23387520.

The previous prime is 83439359. The next prime is 83439407. The reversal of 83439384 is 48393438.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4219 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (3795660).

Almost surely, 283439384 is an apocalyptic number.

83439384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83439384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461120).

83439384 is an abundant number, since it is smaller than the sum of its proper divisors (159482856).

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

83439384 is a wasteful number, since it uses less digits than its factorization.

83439384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9436 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 83439384 is about 9134.5160791363. The cubic root of 83439384 is about 436.9754414055.

The spelling of 83439384 in words is "eighty-three million, four hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 9371 18742 28113 37484 56226 65597 74968 112452 131194 196791 224904 262388 393582 496663 524776 787164 993326 1489989 1574328 1986652 2979978 3476641 3973304 5959956 6953282 10429923 11919912 13906564 20859846 27813128 41719692 83439384