Search a number
-
+
242413476 = 22319972113
BaseRepresentation
bin11100111001011…
…10111110100100
3121220010212202220
432130232332210
5444024212401
640015432340
76002323554
oct1634567644
9556125686
10242413476
11114921918
12692256b0
133b2b7536
14242a3164
1516436336
hexe72efa4

242413476 has 72 divisors (see below), whose sum is σ = 606926880. Its totient is φ = 75091968.

The previous prime is 242413471. The next prime is 242413499. The reversal of 242413476 is 674314242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242413471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2145196 + ... + 2145308.

It is an arithmetic number, because the mean of its divisors is an integer number (8429540).

Almost surely, 2242413476 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 242413476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303463440).

242413476 is an abundant number, since it is smaller than the sum of its proper divisors (364513404).

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

242413476 is a wasteful number, since it uses less digits than its factorization.

242413476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 234 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 242413476 is about 15569.6331363330. The cubic root of 242413476 is about 623.5226769647.

The spelling of 242413476 in words is "two hundred forty-two million, four hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 113 114 194 226 228 291 339 388 452 582 678 1164 1356 1843 2147 3686 4294 5529 6441 7372 8588 9409 10961 11058 12882 18818 21922 22116 25764 28227 32883 37636 43844 56454 65766 112908 131532 178771 208259 357542 416518 536313 624777 715084 833036 1063217 1072626 1249554 2126434 2145252 2499108 3189651 4252868 6379302 12758604 20201123 40402246 60603369 80804492 121206738 242413476