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4642419942 = 2321731215787
BaseRepresentation
bin1000101001011010…
…11011010011100110
3102222112112100221100
410110231123103212
534001424414232
62044355100530
7223020630006
oct42455332346
912875470840
104642419942
111a725858a6
12a968a1746
1358ca50464
143207c0006
151c2871c7c
hex114b5b4e6

4642419942 has 72 divisors (see below), whose sum is σ = 11005593768. Its totient is φ = 1409374080.

The previous prime is 4642419913. The next prime is 4642419961. The reversal of 4642419942 is 2499142464.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286173 + ... + 301959.

It is an arithmetic number, because the mean of its divisors is an integer number (152855469).

Almost surely, 24642419942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642419942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502796884).

4642419942 is an abundant number, since it is smaller than the sum of its proper divisors (6363173826).

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

4642419942 is a wasteful number, since it uses less digits than its factorization.

4642419942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 15840 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4642419942 is about 68135.3061341915. The cubic root of 4642419942 is about 1668.2000928809.

It can be divided in two parts, 46424 and 19942, that added together give a palindrome (66366).

The spelling of 4642419942 in words is "four billion, six hundred forty-two million, four hundred nineteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 961 1054 1581 1922 2883 3162 4743 5766 8649 9486 15787 16337 17298 31574 32674 47361 49011 94722 98022 142083 147033 268379 284166 294066 489397 536758 805137 978794 1468191 1610274 2415411 2936382 4404573 4830822 8319749 8809146 15171307 16639498 24959247 30342614 45513921 49918494 74877741 91027842 136541763 149755482 257912219 273083526 515824438 773736657 1547473314 2321209971 4642419942