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4042089888 = 253131321413
BaseRepresentation
bin1111000011101101…
…0110010110100000
3101102200220102220220
43300323112112200
531234233334023
61505032003040
7202111124424
oct36073262640
911380812826
104042089888
111794721a61
12949830480
134c556a585
142a4b8cb84
15189cdb3e3
hexf0ed65a0

4042089888 has 48 divisors (see below), whose sum is σ = 10691515296. Its totient is φ = 1337073920.

The previous prime is 4042089859. The next prime is 4042089889. The reversal of 4042089888 is 8889802404.

4042089888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4042089888.

It is not an unprimeable number, because it can be changed into a prime (4042089889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148131 + ... + 173282.

It is an arithmetic number, because the mean of its divisors is an integer number (222739902).

Almost surely, 24042089888 is an apocalyptic number.

4042089888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4042089888 is an abundant number, since it is smaller than the sum of its proper divisors (6649425408).

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

4042089888 is a wasteful number, since it uses less digits than its factorization.

4042089888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321557 (or 321549 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 4042089888 is about 63577.4322224482. The cubic root of 4042089888 is about 1592.9494307236.

The spelling of 4042089888 in words is "four billion, forty-two million, eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 321413 642826 964239 1285652 1928478 2571304 3856956 5142608 7713912 10285216 15427824 30855648 42105103 84210206 126315309 168420412 252630618 336840824 505261236 673681648 1010522472 1347363296 2021044944 4042089888