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4492125484 = 2271129713669
BaseRepresentation
bin1000010111100000…
…00110010100101100
3102121001201121200221
410023300012110230
533144441003414
62021425501124
7216214302520
oct41360062454
912531647627
104492125484
1119a5762400
12a544a17a4
1356787a522
14308859d80
151b4585224
hex10bc0652c

4492125484 has 72 divisors (see below), whose sum is σ = 9977787680. Its totient is φ = 1732008960.

The previous prime is 4492125479. The next prime is 4492125487. The reversal of 4492125484 is 4845212944.

It is a self number, because there is not a number n which added to its sum of digits gives 4492125484.

It is not an unprimeable number, because it can be changed into a prime (4492125487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321802 + ... + 335470.

Almost surely, 24492125484 is an apocalyptic number.

4492125484 is a gapful number since it is divisible by the number (44) 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 4492125484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988893840).

4492125484 is an abundant number, since it is smaller than the sum of its proper divisors (5485662196).

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

4492125484 is a wasteful number, since it uses less digits than its factorization.

4492125484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13799 (or 13786 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 4492125484 is about 67023.3204489303. The cubic root of 4492125484 is about 1650.0000592593. Note that the first 4 decimals are identical.

The spelling of 4492125484 in words is "four billion, four hundred ninety-two million, one hundred twenty-five thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 121 154 194 242 308 388 484 679 847 1067 1358 1694 2134 2716 3388 4268 7469 11737 13669 14938 23474 27338 29876 46948 54676 82159 95683 150359 164318 191366 300718 328636 382732 601436 1052513 1325893 1653949 2105026 2651786 3307898 4210052 5303572 6615796 9281251 11577643 14584823 18562502 23155286 29169646 37125004 46310572 58339292 102093761 160433053 204187522 320866106 408375044 641732212 1123031371 2246062742 4492125484