Search a number
-
+
83050000 = 245511151
BaseRepresentation
bin1001111001100…
…11111000010000
312210021101011221
410330303320100
5132230100000
612124014424
72025625165
oct474637020
9183241157
1083050000
1142974770
1223991414
131428a717
14b05c06c
15745761a
hex4f33e10

83050000 has 120 divisors (see below), whose sum is σ = 220860864. Its totient is φ = 30000000.

The previous prime is 83049991. The next prime is 83050013. The reversal of 83050000 is 5038.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549925 + ... + 550075.

Almost surely, 283050000 is an apocalyptic number.

83050000 is a gapful number since it is divisible by the number (80) 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 83050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110430432).

83050000 is an abundant number, since it is smaller than the sum of its proper divisors (137810864).

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

83050000 is a wasteful number, since it uses less digits than its factorization.

83050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 83050000 is about 9113.1772724994. The cubic root of 83050000 is about 436.2946413432.

Adding to 83050000 its reverse (5038), we get a palindrome (83055038).

The spelling of 83050000 in words is "eighty-three million, fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 151 176 200 220 250 275 302 400 440 500 550 604 625 755 880 1000 1100 1208 1250 1375 1510 1661 2000 2200 2416 2500 2750 3020 3125 3322 3775 4400 5000 5500 6040 6250 6644 6875 7550 8305 10000 11000 12080 12500 13288 13750 15100 16610 18875 22000 25000 26576 27500 30200 33220 34375 37750 41525 50000 55000 60400 66440 68750 75500 83050 94375 110000 132880 137500 151000 166100 188750 207625 275000 302000 332200 377500 415250 471875 550000 664400 755000 830500 943750 1038125 1510000 1661000 1887500 2076250 3322000 3775000 4152500 5190625 7550000 8305000 10381250 16610000 20762500 41525000 83050000