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83152350 = 23252257719
BaseRepresentation
bin1001111010011…
…00110111011110
312210110120120200
410331030313132
5132241333400
612130124330
72026532451
oct475146736
9183416520
1083152350
1142a34656
1223a206a6
13142c5198
14b087498
157477b00
hex4f4cdde

83152350 has 72 divisors (see below), whose sum is σ = 224583840. Its totient is φ = 22056960.

The previous prime is 83152339. The next prime is 83152351. The reversal of 83152350 is 5325138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83152351) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 115291 + ... + 116009.

It is an arithmetic number, because the mean of its divisors is an integer number (3119220).

Almost surely, 283152350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83152350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112291920).

83152350 is an abundant number, since it is smaller than the sum of its proper divisors (141431490).

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

83152350 is a wasteful number, since it uses less digits than its factorization.

83152350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 83152350 is about 9118.7910382901. The cubic root of 83152350 is about 436.4737961699.

Adding to 83152350 its reverse (5325138), we get a palindrome (88477488).

The spelling of 83152350 in words is "eighty-three million, one hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 257 450 514 719 771 1285 1438 1542 2157 2313 2570 3595 3855 4314 4626 6425 6471 7190 7710 10785 11565 12850 12942 17975 19275 21570 23130 32355 35950 38550 53925 57825 64710 107850 115650 161775 184783 323550 369566 554349 923915 1108698 1663047 1847830 2771745 3326094 4619575 5543490 8315235 9239150 13858725 16630470 27717450 41576175 83152350