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83206950 = 23521374049
BaseRepresentation
bin1001111010110…
…10001100100110
312210120100110220
410331122030212
5132300110300
612131225210
72030150601
oct475321446
9183510426
1083206950
1142a71682
1223a48206
1314313ca8
14b09d338
157488da0
hex4f5a326

83206950 has 48 divisors (see below), whose sum is σ = 207910800. Its totient is φ = 22021120.

The previous prime is 83206927. The next prime is 83206957. The reversal of 83206950 is 5960238.

It is a happy number.

It is a super-4 number, since 4×832069504 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83206957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18526 + ... + 22574.

It is an arithmetic number, because the mean of its divisors is an integer number (4331475).

Almost surely, 283206950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83206950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103955400).

83206950 is an abundant number, since it is smaller than the sum of its proper divisors (124703850).

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

83206950 is a wasteful number, since it uses less digits than its factorization.

83206950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83206950 is about 9121.7843649146. The cubic root of 83206950 is about 436.5693086240.

The spelling of 83206950 in words is "eighty-three million, two hundred six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 137 150 274 411 685 822 1370 2055 3425 4049 4110 6850 8098 10275 12147 20245 20550 24294 40490 60735 101225 121470 202450 303675 554713 607350 1109426 1664139 2773565 3328278 5547130 8320695 13867825 16641390 27735650 41603475 83206950