Search a number
-
+
4292993840 = 24553662423
BaseRepresentation
bin1111111111100001…
…1110001100110000
3102002012000200102212
43333320132030300
532243001300330
61545553431252
7211245563012
oct37770361460
912065020385
104292993840
1119033128a3
129b986b528
13535538555
142ca2221b2
151a1d4d295
hexffe1e330

4292993840 has 20 divisors (see below), whose sum is σ = 9981210864. Its totient is φ = 1717197504.

The previous prime is 4292993839. The next prime is 4292993843. The reversal of 4292993840 is 483992924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×42929938402 = 36859592220555891200, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4292993843) 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 3 ways as a sum of consecutive naturals, for example, 26831132 + ... + 26831291.

Almost surely, 24292993840 is an apocalyptic number.

4292993840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4292993840 is an abundant number, since it is smaller than the sum of its proper divisors (5688217024).

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

4292993840 is a wasteful number, since it uses less digits than its factorization.

4292993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53662436 (or 53662430 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 4292993840 is about 65520.9419956704. The cubic root of 4292993840 is about 1625.2496771387.

The spelling of 4292993840 in words is "four billion, two hundred ninety-two million, nine hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 53662423 107324846 214649692 268312115 429299384 536624230 858598768 1073248460 2146496920 4292993840