Search a number
-
+
242515350 = 233527112333
BaseRepresentation
bin11100111010001…
…11110110010110
3121220100001112000
432131013312112
5444040442400
640021540130
76003226560
oct1635076626
9556301460
10242515350
11114991410
1269274646
133b321a0c
14242cc330
1516456600
hexe747d96

242515350 has 192 divisors, whose sum is σ = 833518080. Its totient is φ = 50371200.

The previous prime is 242515331. The next prime is 242515363. The reversal of 242515350 is 53515242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102784 + ... + 105116.

It is an arithmetic number, because the mean of its divisors is an integer number (4341240).

Almost surely, 2242515350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242515350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416759040).

242515350 is an abundant number, since it is smaller than the sum of its proper divisors (591002730).

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

242515350 is a wasteful number, since it uses less digits than its factorization.

242515350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 242515350 is about 15572.9043533954. The cubic root of 242515350 is about 623.6100096412.

The spelling of 242515350 in words is "two hundred forty-two million, five hundred fifteen thousand, three hundred fifty".