Search a number
-
+
83142500 = 225474751
BaseRepresentation
bin1001111010010…
…10011101100100
312210110002001212
410331022131210
5132241030000
612130010552
72026461650
oct475123544
9183402055
1083142500
1142a28211
1223a16a58
13142c085c
14b083a60
157474c35
hex4f4a764

83142500 has 60 divisors (see below), whose sum is σ = 207833472. Its totient is φ = 28500000.

The previous prime is 83142497. The next prime is 83142509. The reversal of 83142500 is 524138.

It is not an unprimeable number, because it can be changed into a prime (83142509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15125 + ... + 19875.

Almost surely, 283142500 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 83142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103916736).

83142500 is an abundant number, since it is smaller than the sum of its proper divisors (124690972).

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

83142500 is a wasteful number, since it uses less digits than its factorization.

83142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 83142500 is about 9118.2509287692. The cubic root of 83142500 is about 436.4565609919.

Adding to 83142500 its reverse (524138), we get a palindrome (83666638).

The spelling of 83142500 in words is "eighty-three million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 2500 3500 4375 4751 8750 9502 17500 19004 23755 33257 47510 66514 95020 118775 133028 166285 237550 332570 475100 593875 665140 831425 1187750 1662850 2375500 2969375 3325700 4157125 5938750 8314250 11877500 16628500 20785625 41571250 83142500