Search a number
-
+
4929052590 = 232572111743139
BaseRepresentation
bin1001001011100101…
…10101111110101110
3110201111212211000100
410211302311332232
540043314140330
62133034411530
7233101153500
oct44562657656
913644784010
104929052590
1120aa35a190
12b56890ba6
1360724aa87
1434a8b3d70
151dcae0060
hex125cb5fae

4929052590 has 576 divisors, whose sum is σ = 17747009280. Its totient is φ = 934778880.

The previous prime is 4929052571. The next prime is 4929052613. The reversal of 4929052590 is 952509294.

4929052590 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 0 + 52 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35460741 + ... + 35460879.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 24929052590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4929052590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873504640).

4929052590 is an abundant number, since it is smaller than the sum of its proper divisors (12817956690).

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

4929052590 is a wasteful number, since it uses less digits than its factorization.

4929052590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4929052590 is about 70207.2118090442. The cubic root of 4929052590 is about 1701.8494969337.

The spelling of 4929052590 in words is "four billion, nine hundred twenty-nine million, fifty-two thousand, five hundred ninety".