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642412232 = 237112113839
BaseRepresentation
bin100110010010100…
…110111011001000
31122202210220220122
4212102212323020
52303424142412
6143425042412
721630261650
oct4622467310
91582726818
10642412232
112aa696900
1215b186408
13a31283a7
1461467360
153b5e9572
hex264a6ec8

642412232 has 96 divisors (see below), whose sum is σ = 1528329600. Its totient is φ = 247779840.

The previous prime is 642412219. The next prime is 642412247. The reversal of 642412232 is 232214246.

It is a happy 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, 765269 + ... + 766107.

It is an arithmetic number, because the mean of its divisors is an integer number (15920100).

Almost surely, 2642412232 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 642412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764164800).

642412232 is an abundant number, since it is smaller than the sum of its proper divisors (885917368).

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

642412232 is a wasteful number, since it uses less digits than its factorization.

642412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 642412232 is about 25345.8523628621. The cubic root of 642412232 is about 862.8552261345.

Adding to 642412232 its reverse (232214246), we get a palindrome (874626478).

The spelling of 642412232 in words is "six hundred forty-two million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 121 154 226 242 308 452 484 616 791 839 847 904 968 1243 1582 1678 1694 2486 3164 3356 3388 4972 5873 6328 6712 6776 8701 9229 9944 11746 13673 17402 18458 23492 27346 34804 36916 46984 54692 64603 69608 73832 94807 95711 101519 109384 129206 189614 191422 203038 258412 379228 382844 406076 516824 663649 710633 758456 765688 812152 1042877 1327298 1421266 2085754 2654596 2842532 4171508 5309192 5685064 7300139 8343016 11471647 14600278 22943294 29200556 45886588 58401112 80301529 91773176 160603058 321206116 642412232