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4026378258 = 2327371137643
BaseRepresentation
bin1110111111111101…
…1010100000010010
3101101121100012121200
43233333122200102
531221223101013
61503311132030
7201530436060
oct35777324022
911347305550
104026378258
111786870641
12944514016
134c2229056
142a2a5d030
15188735e73
hexeffda812

4026378258 has 96 divisors (see below), whose sum is σ = 10331508096. Its totient is φ = 1109251584.

The previous prime is 4026378247. The next prime is 4026378259. The reversal of 4026378258 is 8528736204.

4026378258 is a `hidden beast` number, since 4 + 0 + 2 + 637 + 8 + 2 + 5 + 8 = 666.

It is a super-2 number, since 2×40263782582 = 32423443752990229128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4026378259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522985 + ... + 530627.

It is an arithmetic number, because the mean of its divisors is an integer number (107619876).

Almost surely, 24026378258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4026378258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165754048).

4026378258 is an abundant number, since it is smaller than the sum of its proper divisors (6305129838).

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

4026378258 is a wasteful number, since it uses less digits than its factorization.

4026378258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4026378258 is about 63453.7489672596. The cubic root of 4026378258 is about 1590.8828157835.

The spelling of 4026378258 in words is "four billion, twenty-six million, three hundred seventy-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 113 126 222 226 259 333 339 518 666 678 777 791 1017 1554 1582 2034 2331 2373 4181 4662 4746 7119 7643 8362 12543 14238 15286 22929 25086 29267 37629 45858 53501 58534 68787 75258 87801 107002 137574 160503 175602 263403 282791 321006 481509 526806 565582 848373 863659 963018 1696746 1727318 1979537 2545119 2590977 3959074 5090238 5181954 5938611 6045613 7772931 11877222 12091226 15545862 17815833 18136839 31955383 35631666 36273678 54410517 63910766 95866149 108821034 191732298 223687681 287598447 447375362 575196894 671063043 1342126086 2013189129 4026378258