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4266006440 = 2352112691879
BaseRepresentation
bin1111111001000110…
…0001011110101000
3102000022020120200112
43332101201132220
532214044201230
61543151153452
7210500312363
oct37621413650
912008216615
104266006440
11189a05a863
129b0815888
1352ca79887
142c67d90da
1519e7bbd95
hexfe4617a8

4266006440 has 64 divisors (see below), whose sum is σ = 9685008000. Its totient is φ = 1691101440.

The previous prime is 4266006431. The next prime is 4266006449. The reversal of 4266006440 is 446006624.

It is an interprime number because it is at equal distance from previous prime (4266006431) and next prime (4266006449).

It is a super-2 number, since 2×42660064402 = 36397621892242947200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4266006397 and 4266006406.

It is not an unprimeable number, because it can be changed into a prime (4266006449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2269421 + ... + 2271299.

It is an arithmetic number, because the mean of its divisors is an integer number (151328250).

Almost surely, 24266006440 is an apocalyptic number.

4266006440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4266006440 is an abundant number, since it is smaller than the sum of its proper divisors (5419001560).

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

4266006440 is a wasteful number, since it uses less digits than its factorization.

4266006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4266006440 is about 65314.6724710459. The cubic root of 4266006440 is about 1621.8368688384.

The spelling of 4266006440 in words is "four billion, two hundred sixty-six million, six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 211 269 422 538 844 1055 1076 1345 1688 1879 2110 2152 2690 3758 4220 5380 7516 8440 9395 10760 15032 18790 37580 56759 75160 113518 227036 283795 396469 454072 505451 567590 792938 1010902 1135180 1585876 1982345 2021804 2270360 2527255 3171752 3964690 4043608 5054510 7929380 10109020 15858760 20218040 106650161 213300322 426600644 533250805 853201288 1066501610 2133003220 4266006440