Search a number
-
+
4972845528 = 23337192947127
BaseRepresentation
bin1001010000110011…
…11001100111011000
3110211120021201122000
410220121321213120
540141022024103
62141241201000
7234142326630
oct45031714730
913746251560
104972845528
1121220504a2
12b69490160
13613341b61
143526336c0
151e1890aa3
hex1286799d8

4972845528 has 512 divisors, whose sum is σ = 17694720000. Its totient is φ = 1261951488.

The previous prime is 4972845523. The next prime is 4972845533. The reversal of 4972845528 is 8255482794.

4972845528 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 84 + 552 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4972845523) and next prime (4972845533).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (4972845523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39156201 + ... + 39156327.

It is an arithmetic number, because the mean of its divisors is an integer number (34560000).

Almost surely, 24972845528 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 4972845528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847360000).

4972845528 is an abundant number, since it is smaller than the sum of its proper divisors (12721874472).

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

4972845528 is a wasteful number, since it uses less digits than its factorization.

4972845528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 4972845528 is about 70518.4055974041. The cubic root of 4972845528 is about 1706.8747595452.

The spelling of 4972845528 in words is "four billion, nine hundred seventy-two million, eight hundred forty-five thousand, five hundred twenty-eight".