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4276226724 = 2237117735987
BaseRepresentation
bin1111111011100010…
…0000101010100100
3102001000110211021120
43332320200222210
532224203223344
61544154213540
7210653220210
oct37670405244
912030424246
104276226724
1118a4900480
129b41242b0
13531c17793
142c7cd9940
151a063a219
hexfee20aa4

4276226724 has 96 divisors (see below), whose sum is σ = 12458105856. Its totient is φ = 1109086080.

The previous prime is 4276226701. The next prime is 4276226729.

4276226724 is nontrivially palindromic in base 10.

4276226724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42762267242 = 36572229990103544352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (4276226729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711259 + ... + 717245.

It is an arithmetic number, because the mean of its divisors is an integer number (129771936).

Almost surely, 24276226724 is an apocalyptic number.

4276226724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4276226724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229052928).

4276226724 is an abundant number, since it is smaller than the sum of its proper divisors (8181879132).

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

4276226724 is a wasteful number, since it uses less digits than its factorization.

4276226724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6783 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 4276226724 is about 65392.8644731212. The cubic root of 4276226724 is about 1623.1310076855.

The spelling of 4276226724 in words is "four billion, two hundred seventy-six million, two hundred twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 773 924 1546 2319 3092 4638 5411 5987 8503 9276 10822 11974 16233 17006 17961 21644 23948 25509 32466 34012 35922 41909 51018 59521 64932 65857 71844 83818 102036 119042 125727 131714 167636 178563 197571 238084 251454 263428 357126 395142 460999 502908 714252 790284 921998 1382997 1843996 2765994 4627951 5531988 9255902 13883853 18511804 27767706 32395657 50907461 55535412 64791314 97186971 101814922 129582628 152722383 194373942 203629844 305444766 356352227 388747884 610889532 712704454 1069056681 1425408908 2138113362 4276226724