Search a number
-
+
242437986 = 2327217192337
BaseRepresentation
bin11100111001101…
…00111101100010
3121220012010101200
432130310331202
5444031003421
640020142030
76002455200
oct1634647542
9556163350
10242437986
1111493927a
1269237916
133b2c573b
14242ac070
151643d726
hexe734f62

242437986 has 288 divisors, whose sum is σ = 729855360. Its totient is φ = 57480192.

The previous prime is 242437981. The next prime is 242438029. The reversal of 242437986 is 689734242.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (580608) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (242437981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6552360 + ... + 6552396.

It is an arithmetic number, because the mean of its divisors is an integer number (2534220).

Almost surely, 2242437986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242437986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364927680).

242437986 is an abundant number, since it is smaller than the sum of its proper divisors (487417374).

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

242437986 is a wasteful number, since it uses less digits than its factorization.

242437986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 242437986 is about 15570.4202255430. The cubic root of 242437986 is about 623.5436906833.

The spelling of 242437986 in words is "two hundred forty-two million, four hundred thirty-seven thousand, nine hundred eighty-six".