Search a number
-
+
42296500 = 2253292917
BaseRepresentation
bin1010000101011…
…0010010110100
32221120212220001
42201112102310
541311442000
64110321044
71022341261
oct241262264
987525801
1042296500
1121969a94
12121b9184
1389bbc1c
145890268
153aa746a
hex28564b4

42296500 has 48 divisors (see below), whose sum is σ = 95593680. Its totient is φ = 16329600.

The previous prime is 42296483. The next prime is 42296509. The reversal of 42296500 is 569224.

It can be written as a sum of positive squares in 8 ways, for example, as 1999396 + 40297104 = 1414^2 + 6348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42296509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13042 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (1991535).

Almost surely, 242296500 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 42296500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47796840).

42296500 is an abundant number, since it is smaller than the sum of its proper divisors (53297180).

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

42296500 is a wasteful number, since it uses less digits than its factorization.

42296500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 42296500 is about 6503.5759394352. The cubic root of 42296500 is about 348.4187169388.

The spelling of 42296500 in words is "forty-two million, two hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 2917 3625 5834 7250 11668 14500 14585 29170 58340 72925 84593 145850 169186 291700 338372 364625 422965 729250 845930 1458500 1691860 2114825 4229650 8459300 10574125 21148250 42296500