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242846424 = 2335532357
BaseRepresentation
bin11100111100110…
…00101011011000
3121220221212200000
432132120223120
5444132041144
640033013000
76006106032
oct1636305330
9556855600
10242846424
11115098127
12693b4160
133b409612
1424376c52
15164be769
hexe798ad8

242846424 has 96 divisors (see below), whose sum is σ = 695232720. Its totient is φ = 79387776.

The previous prime is 242846393. The next prime is 242846473. The reversal of 242846424 is 424648242.

It is a happy number.

242846424 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 4 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101854 + ... + 104210.

Almost surely, 2242846424 is an apocalyptic number.

242846424 is a gapful number since it is divisible by the number (24) 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 242846424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347616360).

242846424 is an abundant number, since it is smaller than the sum of its proper divisors (452386296).

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

242846424 is a wasteful number, since it uses less digits than its factorization.

242846424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2415 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 242846424 is about 15583.5305370766. The cubic root of 242846424 is about 623.8936579137.

The spelling of 242846424 in words is "two hundred forty-two million, eight hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 2357 2862 3816 4293 4714 5724 7071 8586 9428 11448 12879 14142 17172 18856 21213 25758 28284 34344 42426 51516 56568 63639 84852 103032 124921 127278 169704 190917 249842 254556 374763 381834 499684 509112 572751 749526 763668 999368 1124289 1145502 1499052 1527336 2248578 2291004 2998104 3372867 4497156 4582008 6745734 8994312 10118601 13491468 20237202 26982936 30355803 40474404 60711606 80948808 121423212 242846424