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8752265340 = 22357213318389
BaseRepresentation
bin10000010011010110…
…01111100001111100
3211120221221010221120
420021223033201330
5120411034442330
64004251230540
7426614012400
oct101153174174
924527833846
108752265340
113791475545
121843148450
13a96351a40
145d0569100
15363593c10
hex209acf87c

8752265340 has 576 divisors, whose sum is σ = 32432762880. Its totient is φ = 1745694720.

The previous prime is 8752265321. The next prime is 8752265377. The reversal of 8752265340 is 435622578.

8752265340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8752265292 and 8752265301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98340016 + ... + 98340104.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880).

Almost surely, 28752265340 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 8752265340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216381440).

8752265340 is an abundant number, since it is smaller than the sum of its proper divisors (23680497540).

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

8752265340 is a wasteful number, since it uses less digits than its factorization.

8752265340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 8752265340 is about 93553.5426373582. The cubic root of 8752265340 is about 2060.8204652731.

The spelling of 8752265340 in words is "eight billion, seven hundred fifty-two million, two hundred sixty-five thousand, three hundred forty".