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4354525540 = 2254150910433
BaseRepresentation
bin1000000111000110…
…01100100101100100
3102020110210211001201
410003203030211210
532404224304130
62000032332244
7212623566511
oct40343144544
912213724051
104354525540
11193501a542
12a163a4084
13545200741
142d447c308
151a7454bca
hex1038cc964

4354525540 has 48 divisors (see below), whose sum is σ = 9386843760. Its totient is φ = 1695825920.

The previous prime is 4354525519. The next prime is 4354525561. The reversal of 4354525540 is 455254534.

It is an interprime number because it is at equal distance from previous prime (4354525519) and next prime (4354525561).

It can be written as a sum of positive squares in 8 ways, for example, as 52215076 + 4302310464 = 7226^2 + 65592^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4354525540.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 412164 + ... + 422596.

It is an arithmetic number, because the mean of its divisors is an integer number (195559245).

Almost surely, 24354525540 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 4354525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693421880).

4354525540 is an abundant number, since it is smaller than the sum of its proper divisors (5032318220).

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

4354525540 is a wasteful number, since it uses less digits than its factorization.

4354525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The square root of 4354525540 is about 65988.8289030803. The cubic root of 4354525540 is about 1632.9778002591.

The spelling of 4354525540 in words is "four billion, three hundred fifty-four million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 509 820 1018 2036 2545 5090 10180 10433 20866 20869 41732 41738 52165 83476 104330 104345 208660 208690 417380 427753 855506 1711012 2138765 4277530 5310397 8555060 10620794 21241588 26551985 53103970 106207940 217726277 435452554 870905108 1088631385 2177262770 4354525540