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242613432 = 233219672647
BaseRepresentation
bin11100111010111…
…11110010111000
3121220112001001200
432131133302320
5444102112212
640024014200
76004115535
oct1635376270
9556461050
10242613432
11114a49076
1269301360
133b357559
1424315d8c
15164756dc
hexe75fcb8

242613432 has 96 divisors (see below), whose sum is σ = 702249600. Its totient is φ = 75442752.

The previous prime is 242613379. The next prime is 242613457. The reversal of 242613432 is 234316242.

242613432 is a `hidden beast` number, since 2 + 4 + 2 + 613 + 43 + 2 = 666.

It is a super-2 number, since 2×2426134322 = 117722554773637248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242613396 and 242613405.

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, 90333 + ... + 92979.

It is an arithmetic number, because the mean of its divisors is an integer number (7315100).

Almost surely, 2242613432 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 242613432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351124800).

242613432 is an abundant number, since it is smaller than the sum of its proper divisors (459636168).

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

242613432 is a wasteful number, since it uses less digits than its factorization.

242613432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2738 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 242613432 is about 15576.0531586150. The cubic root of 242613432 is about 623.6940684758.

Adding to 242613432 its reverse (234316242), we get a palindrome (476929674).

The spelling of 242613432 in words is "two hundred forty-two million, six hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 67 72 76 114 134 152 171 201 228 268 342 402 456 536 603 684 804 1206 1273 1368 1608 2412 2546 2647 3819 4824 5092 5294 7638 7941 10184 10588 11457 15276 15882 21176 22914 23823 30552 31764 45828 47646 50293 63528 91656 95292 100586 150879 177349 190584 201172 301758 354698 402344 452637 532047 603516 709396 905274 1064094 1207032 1418792 1596141 1810548 2128188 3192282 3369631 3621096 4256376 6384564 6739262 10108893 12769128 13478524 20217786 26957048 30326679 40435572 60653358 80871144 121306716 242613432