Search a number
-
+
8713628352 = 26331113179197
BaseRepresentation
bin10000001110101111…
…10110101011000000
3211111021020011222000
420013113312223000
5120321142101402
64000351144000
7425634422202
oct100727665300
924437204860
108713628352
113771685a50
121832215000
13a8b344710
145c938c772
1535eeb0c1c
hex2075f6ac0

8713628352 has 448 divisors, whose sum is σ = 30416601600. Its totient is φ = 2411458560.

The previous prime is 8713628321. The next prime is 8713628359. The reversal of 8713628352 is 2538263178.

8713628352 is a `hidden beast` number, since 8 + 7 + 13 + 628 + 3 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8713628298 and 8713628307.

It is not an unprimeable number, because it can be changed into a prime (8713628359) 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, 44231518 + ... + 44231714.

It is an arithmetic number, because the mean of its divisors is an integer number (67894200).

Almost surely, 28713628352 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 8713628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208300800).

8713628352 is an abundant number, since it is smaller than the sum of its proper divisors (21702973248).

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

8713628352 is a wasteful number, since it uses less digits than its factorization.

8713628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

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

The square root of 8713628352 is about 93346.8175783192. The cubic root of 8713628352 is about 2057.7834857943.

The spelling of 8713628352 in words is "eight billion, seven hundred thirteen million, six hundred twenty-eight thousand, three hundred fifty-two".