Search a number
-
+
43628494590 = 2355591731759
BaseRepresentation
bin101000101000011101…
…011111111011111110
311011121112201011100000
4220220131133323332
51203322343311330
632013114015130
73103104041142
oct505035377376
9134545634300
1043628494590
11175591697aa
1285571174a6
134163a2b395
14217c457222
151205326560
hexa2875fefe

43628494590 has 192 divisors, whose sum is σ = 120389068800. Its totient is φ = 11364499584.

The previous prime is 43628494589. The next prime is 43628494597. The reversal of 43628494590 is 9549482634.

43628494590 is a `hidden beast` number, since 4 + 3 + 6 + 2 + 8 + 49 + 4 + 590 = 666.

It is a super-3 number, since 3×436284945903 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43628494597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24802131 + ... + 24803889.

It is an arithmetic number, because the mean of its divisors is an integer number (627026400).

Almost surely, 243628494590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43628494590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60194534400).

43628494590 is an abundant number, since it is smaller than the sum of its proper divisors (76760574210).

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

43628494590 is a wasteful number, since it uses less digits than its factorization.

43628494590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 43628494590 in words is "forty-three billion, six hundred twenty-eight million, four hundred ninety-four thousand, five hundred ninety".