Search a number
-
+
4127828940 = 2232522932383
BaseRepresentation
bin1111011000001001…
…1010101111001100
3101122200020102210100
43312002122233030
531423211011230
61521333411100
7204201652464
oct36602325714
911580212710
104127828940
111829062a84
12972499a90
1350a259c41
142b230aba4
151925c5660
hexf609abcc

4127828940 has 36 divisors (see below), whose sum is σ = 12521081664. Its totient is φ = 1100754336.

The previous prime is 4127828933. The next prime is 4127828953. The reversal of 4127828940 is 498287214.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11466012 + ... + 11466371.

It is an arithmetic number, because the mean of its divisors is an integer number (347807824).

Almost surely, 24127828940 is an apocalyptic number.

It is an amenable number.

4127828940 is an abundant number, since it is smaller than the sum of its proper divisors (8393252724).

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

4127828940 is a wasteful number, since it uses less digits than its factorization.

4127828940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22932398 (or 22932393 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4127828940 is about 64248.1823867415. The cubic root of 4127828940 is about 1604.1337043372.

The spelling of 4127828940 in words is "four billion, one hundred twenty-seven million, eight hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22932383 45864766 68797149 91729532 114661915 137594298 206391447 229323830 275188596 343985745 412782894 458647660 687971490 825565788 1031957235 1375942980 2063914470 4127828940