Search a number
-
+
8749520640 = 28335759613
BaseRepresentation
bin10000010011000001…
…10001011100000000
3211120202202200221000
420021200301130000
5120404334130030
64004112332000
7426551461350
oct101140613400
924522680830
108749520640
11378a9703a3
121842244000
13a95900663
145d0052b60
15363200860
hex209831700

8749520640 has 576 divisors, whose sum is σ = 36144460800. Its totient is φ = 1962786816.

The previous prime is 8749520599. The next prime is 8749520641. The reversal of 8749520640 is 460259478.

It is a happy number.

8749520640 is a `hidden beast` number, since 87 + 4 + 9 + 520 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×87495206402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8749520641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14272974 + ... + 14273586.

It is an arithmetic number, because the mean of its divisors is an integer number (62750800).

Almost surely, 28749520640 is an apocalyptic number.

8749520640 is a gapful number since it is divisible by the number (80) 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 8749520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18072230400).

8749520640 is an abundant number, since it is smaller than the sum of its proper divisors (27394940160).

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

8749520640 is a wasteful number, since it uses less digits than its factorization.

8749520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8749520640 is about 93538.8723472760. The cubic root of 8749520640 is about 2060.6050191348.

The spelling of 8749520640 in words is "eight billion, seven hundred forty-nine million, five hundred twenty thousand, six hundred forty".