Search a number
-
+
4286869920 = 2537512251
BaseRepresentation
bin1111111110000100…
…0111000110100000
3102001202111120000000
43333201013012200
532234414314140
61545214300000
7211142536014
oct37741070640
912052446000
104286869920
1118aa90a903
129b77b7600
135341a3028
142c94aa544
151a153da30
hexff8471a0

4286869920 has 192 divisors, whose sum is σ = 15190519680. Its totient is φ = 1143072000.

The previous prime is 4286869903. The next prime is 4286869943. The reversal of 4286869920 is 299686824.

It is a happy number.

4286869920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42868699202 = 36754507422001612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343795 + ... + 356045.

It is an arithmetic number, because the mean of its divisors is an integer number (79117290).

Almost surely, 24286869920 is an apocalyptic number.

4286869920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595259840).

4286869920 is an abundant number, since it is smaller than the sum of its proper divisors (10903649760).

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

4286869920 is an equidigital number, since it uses as much as digits as its factorization.

4286869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4286869920 is about 65474.1927785292. The cubic root of 4286869920 is about 1624.4765076674.

The spelling of 4286869920 in words is "four billion, two hundred eighty-six million, eight hundred sixty-nine thousand, nine hundred twenty".