Search a number
-
+
4424157108 = 2232736747837
BaseRepresentation
bin1000001111011001…
…10100011110110100
3102102022211110121200
410013230310132310
533030041011413
62011001012500
7214430500140
oct40754643664
912368743550
104424157108
111970359798
12a35784130
13556770657
142dd806220
151ad60b573
hex107b347b4

4424157108 has 72 divisors (see below), whose sum is σ = 12815991552. Its totient is φ = 1260574272.

The previous prime is 4424157107. The next prime is 4424157151. The reversal of 4424157108 is 8017514244.

It is a happy number.

4424157108 is a `hidden beast` number, since 4 + 42 + 41 + 571 + 0 + 8 = 666.

It is a super-2 number, since 2×44241571082 = 39146332232533847328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424157107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68566 + ... + 116402.

Almost surely, 24424157108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424157108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407995776).

4424157108 is an abundant number, since it is smaller than the sum of its proper divisors (8391834444).

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

4424157108 is a wasteful number, since it uses less digits than its factorization.

4424157108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221 (or 48216 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4424157108 is about 66514.3376122772. The cubic root of 4424157108 is about 1641.6359231235.

The spelling of 4424157108 in words is "four billion, four hundred twenty-four million, one hundred fifty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 367 734 1101 1468 2202 2569 3303 4404 5138 6606 7707 10276 13212 15414 23121 30828 46242 47837 92484 95674 143511 191348 287022 334859 430533 574044 669718 861066 1004577 1339436 1722132 2009154 3013731 4018308 6027462 12054924 17556179 35112358 52668537 70224716 105337074 122893253 158005611 210674148 245786506 316011222 368679759 491573012 632022444 737359518 1106039277 1474719036 2212078554 4424157108