Search a number
-
+
8242950 = 2352179307
BaseRepresentation
bin11111011100011100000110
3120111210012110
4133130130012
54102233300
6452401450
7130030632
oct37343406
916453173
108242950
114720061
122916286
131927bb1
141147dc2
15acc550
hex7dc706

8242950 has 48 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2178720.

The previous prime is 8242937. The next prime is 8242957. The reversal of 8242950 is 592428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242957) by changing a digit.

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, 26697 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 28242950 is an apocalyptic number.

8242950 is the 1535-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8242950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

8242950 is an abundant number, since it is smaller than the sum of its proper divisors (12380730).

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

8242950 is a wasteful number, since it uses less digits than its factorization.

8242950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8242950 is about 2871.0538134978. The cubic root of 8242950 is about 202.0044275734.

The spelling of 8242950 in words is "eight million, two hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 179 307 358 537 614 895 921 1074 1535 1790 1842 2685 3070 4475 4605 5370 7675 8950 9210 13425 15350 23025 26850 46050 54953 109906 164859 274765 329718 549530 824295 1373825 1648590 2747650 4121475 8242950