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642303942 = 237313767199
BaseRepresentation
bin100110010010001…
…100011111000110
31122202121102100220
4212102030133012
52303412211232
6143422445210
721626331150
oct4622143706
91582542326
10642303942
112aa622505
1215b133806
13a30bb007
1461439ad0
153b5c742c
hex2648c7c6

642303942 has 128 divisors (see below), whose sum is σ = 1587609600. Its totient is φ = 169361280.

The previous prime is 642303917. The next prime is 642303947. The reversal of 642303942 is 249303246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642303947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3227559 + ... + 3227757.

It is an arithmetic number, because the mean of its divisors is an integer number (12403200).

Almost surely, 2642303942 is an apocalyptic number.

642303942 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642303942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793804800).

642303942 is an abundant number, since it is smaller than the sum of its proper divisors (945305658).

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

642303942 is a wasteful number, since it uses less digits than its factorization.

642303942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346.

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 642303942 is about 25343.7160258712. The cubic root of 642303942 is about 862.8067402151.

The spelling of 642303942 in words is "six hundred forty-two million, three hundred three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 67 74 93 111 134 186 199 201 217 222 259 398 402 434 469 518 597 651 777 938 1147 1194 1302 1393 1407 1554 2077 2294 2479 2786 2814 3441 4154 4179 4958 6169 6231 6882 7363 7437 8029 8358 12338 12462 13333 14539 14726 14874 16058 17353 18507 22089 24087 26666 29078 34706 37014 39999 43183 43617 44178 48174 51541 52059 76849 79998 86366 87234 93331 103082 104118 129549 153698 154623 186662 228253 230547 259098 279993 309246 413323 456506 461094 493321 537943 559986 684759 826646 986642 1075886 1239969 1369518 1479963 1597771 1613829 2479938 2893261 2959926 3195542 3227658 3453247 4793313 5786522 6906494 8679783 9586626 10359741 15292951 17359566 20719482 30585902 45878853 91757706 107050657 214101314 321151971 642303942