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4050024132 = 22371122719309
BaseRepresentation
bin1111000101100110…
…0111011011000100
3101110020211112122210
43301121213123010
531243301233012
61505514023420
7202235431350
oct36131473304
911406745583
104050024132
111799151090
12950417b70
134c70b7aab
142a5c56460
1518a85723c
hexf16676c4

4050024132 has 96 divisors (see below), whose sum is σ = 11834403840. Its totient is φ = 1047265920.

The previous prime is 4050024119. The next prime is 4050024197. The reversal of 4050024132 is 2314200504.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4050024099 and 4050024108.

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 31 ways as a sum of consecutive naturals, for example, 200094 + ... + 219402.

It is an arithmetic number, because the mean of its divisors is an integer number (123275040).

Almost surely, 24050024132 is an apocalyptic number.

4050024132 is a gapful number since it is divisible by the number (42) 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 4050024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917201920).

4050024132 is an abundant number, since it is smaller than the sum of its proper divisors (7784379708).

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

4050024132 is a wasteful number, since it uses less digits than its factorization.

4050024132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19561 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4050024132 is about 63639.7999054051. The cubic root of 4050024132 is about 1593.9910197030.

Adding to 4050024132 its reverse (2314200504), we get a palindrome (6364224636).

The spelling of 4050024132 in words is "four billion, fifty million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 227 231 308 454 462 681 908 924 1362 1589 2497 2724 3178 4767 4994 6356 7491 9534 9988 14982 17479 19068 19309 29964 34958 38618 52437 57927 69916 77236 104874 115854 135163 209748 212399 231708 270326 405489 424798 540652 637197 810978 849596 1274394 1486793 1621956 2548788 2973586 4383143 4460379 5947172 8766286 8920758 13149429 17532572 17841516 26298858 30682001 48214573 52597716 61364002 92046003 96429146 122728004 144643719 184092006 192858292 289287438 337502011 368184012 578574876 675004022 1012506033 1350008044 2025012066 4050024132