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4047426372 = 22311614091229
BaseRepresentation
bin1111000100111110…
…1101001101000100
3101110001221120012110
43301033231031010
531242120120442
61505342221020
7202204361613
oct36117551504
911401846173
104047426372
111797737380
1294b584770
134c66b8562
142a577b87a
1518a4e269c
hexf13ed344

4047426372 has 96 divisors (see below), whose sum is σ = 10505577600. Its totient is φ = 1202457600.

The previous prime is 4047426367. The next prime is 4047426401. The reversal of 4047426372 is 2736247404.

It is a super-2 number, since 2×40474263722 = 32763320473522164768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4047426372.

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 31 ways as a sum of consecutive naturals, for example, 3292654 + ... + 3293882.

It is an arithmetic number, because the mean of its divisors is an integer number (109433100).

Almost surely, 24047426372 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 4047426372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252788800).

4047426372 is an abundant number, since it is smaller than the sum of its proper divisors (6458151228).

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

4047426372 is a wasteful number, since it uses less digits than its factorization.

4047426372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The square root of 4047426372 is about 63619.3867622127. The cubic root of 4047426372 is about 1593.6501417542.

It can be divided in two parts, 404742 and 6372, that added together give a palindrome (411114).

The spelling of 4047426372 in words is "four billion, forty-seven million, four hundred twenty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 409 671 732 818 1227 1229 1342 1636 2013 2454 2458 2684 3687 4026 4499 4908 4916 7374 8052 8998 13497 13519 14748 17996 24949 26994 27038 40557 49898 53988 54076 74847 74969 81114 99796 149694 149938 162228 224907 274439 299388 299876 449814 502661 548878 823317 824659 899628 1005322 1097756 1507983 1646634 1649318 2010644 2473977 3015966 3293268 3298636 4947954 5529271 6031932 9895908 11058542 16587813 22117084 30662321 33175626 61324642 66351252 91986963 122649284 183973926 337285531 367947852 674571062 1011856593 1349142124 2023713186 4047426372