Search a number
-
+
242854388 = 22726411933
BaseRepresentation
bin11100111100110…
…10100111110100
3121220222021120222
432132122213310
5444132320023
640033113512
76006141200
oct1636324764
9556867528
10242854388
111150a3107
12693b8898
133b41012a
1424379b00
15164c1cc8
hexe79a9f4

242854388 has 36 divisors (see below), whose sum is σ = 495409572. Its totient is φ = 103864320.

The previous prime is 242854387. The next prime is 242854433. The reversal of 242854388 is 883458242.

It can be written as a sum of positive squares in 2 ways, for example, as 195216784 + 47637604 = 13972^2 + 6902^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242854387) 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 11 ways as a sum of consecutive naturals, for example, 124670 + ... + 126602.

It is an arithmetic number, because the mean of its divisors is an integer number (13761377).

Almost surely, 2242854388 is an apocalyptic number.

242854388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242854388 is an abundant number, since it is smaller than the sum of its proper divisors (252555184).

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

242854388 is a wasteful number, since it uses less digits than its factorization.

242854388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2583 counting only the distinct ones).

The product of its digits is 491520, while the sum is 44.

The square root of 242854388 is about 15583.7860611598. The cubic root of 242854388 is about 623.9004779095.

The spelling of 242854388 in words is "two hundred forty-two million, eight hundred fifty-four thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 641 1282 1933 2564 3866 4487 7732 8974 13531 17948 27062 31409 54124 62818 94717 125636 189434 378868 1239053 2478106 4956212 8673371 17346742 34693484 60713597 121427194 242854388