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242846420 = 225231015227
BaseRepresentation
bin11100111100110…
…00101011010100
3121220221212122212
432132120223110
5444132041140
640033012552
76006106025
oct1636305324
9556855585
10242846420
11115098123
12693b4158
133b40960b
1424376c4c
15164be765
hexe798ad4

242846420 has 48 divisors (see below), whose sum is σ = 537522048. Its totient is φ = 91977600.

The previous prime is 242846393. The next prime is 242846473. The reversal of 242846420 is 24648242.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43847 + ... + 49073.

It is an arithmetic number, because the mean of its divisors is an integer number (11198376).

Almost surely, 2242846420 is an apocalyptic number.

242846420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268761024).

242846420 is an abundant number, since it is smaller than the sum of its proper divisors (294675628).

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

242846420 is a wasteful number, since it uses less digits than its factorization.

242846420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 242846420 is about 15583.5304087360. The cubic root of 242846420 is about 623.8936544883.

The spelling of 242846420 in words is "two hundred forty-two million, eight hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4646 5227 9292 10454 11615 20908 23230 26135 46460 52270 104540 120221 240442 480884 527927 601105 1055854 1202210 2111708 2404420 2639635 5279270 10558540 12142321 24284642 48569284 60711605 121423210 242846420