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4023866946 = 23111133371601
BaseRepresentation
bin1110111111010111…
…0101011001000010
3101101102121121202010
43233311311121002
531220102220241
61503141233350
7201500206341
oct35765653102
911342547663
104023866946
111785405880
12943702856
134c1859c78
142a25a7b58
151883dbd16
hexefd75642

4023866946 has 64 divisors (see below), whose sum is σ = 8888870016. Its totient is φ = 1204224000.

The previous prime is 4023866839. The next prime is 4023866971. The reversal of 4023866946 is 6496683204.

It is a super-2 number, since 2×40238669462 = 32383010398222733832, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4023866895 and 4023866904.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2512546 + ... + 2514146.

It is an arithmetic number, because the mean of its divisors is an integer number (138888594).

Almost surely, 24023866946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023866946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444435008).

4023866946 is an abundant number, since it is smaller than the sum of its proper divisors (4865003070).

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

4023866946 is a wasteful number, since it uses less digits than its factorization.

4023866946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067.

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 4023866946 is about 63433.9573572389. The cubic root of 4023866946 is about 1590.5519945707.

The spelling of 4023866946 in words is "four billion, twenty-three million, eight hundred sixty-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 113 226 337 339 674 678 1011 1243 1601 2022 2486 3202 3707 3729 4803 7414 7458 9606 11121 17611 22242 35222 38081 52833 76162 105666 114243 180913 228486 361826 418891 539537 542739 837782 1079074 1085478 1256673 1618611 1990043 2513346 3237222 3980086 5934907 5970129 11869814 11940258 17804721 35609442 60967681 121935362 182903043 365806086 670644491 1341288982 2011933473 4023866946