Search a number
-
+
242470592 = 26713173179
BaseRepresentation
bin11100111001111…
…00111011000000
3121220020210010022
432130330323000
5444033024332
640020553012
76002652230
oct1634747300
9556223108
10242470592
11114960821
1269252768
133b307530
14242b9cc0
1516448212
hexe73cec0

242470592 has 224 divisors, whose sum is σ = 655441920. Its totient is φ = 86261760.

The previous prime is 242470573. The next prime is 242470607. The reversal of 242470592 is 295074242.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069209 + ... + 3069287.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2242470592 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 242470592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327720960).

242470592 is an abundant number, since it is smaller than the sum of its proper divisors (412971328).

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

242470592 is a wasteful number, since it uses less digits than its factorization.

242470592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 242470592 is about 15571.4672397947. The cubic root of 242470592 is about 623.5716433356.

The spelling of 242470592 in words is "two hundred forty-two million, four hundred seventy thousand, five hundred ninety-two".