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8534172240 = 24325111956713
BaseRepresentation
bin1111111001010110…
…10010001001010000
3211000202112212110100
413330223102021100
5114434222002430
63530500532400
7421325160426
oct77453221120
924022485410
108534172240
11368a354a10
1217a20b1100
13a60101279
145ad5d7116
1534e363960
hex1fcad2250

8534172240 has 240 divisors, whose sum is σ = 32912268480. Its totient is φ = 1959966720.

The previous prime is 8534172217. The next prime is 8534172271. The reversal of 8534172240 is 422714358.

It is a happy number.

8534172240 is a `hidden beast` number, since 8 + 5 + 341 + 72 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8534172195 and 8534172204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122124 + ... + 178836.

It is an arithmetic number, because the mean of its divisors is an integer number (137134452).

Almost surely, 28534172240 is an apocalyptic number.

8534172240 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 8534172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456134240).

8534172240 is an abundant number, since it is smaller than the sum of its proper divisors (24378096240).

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

8534172240 is a wasteful number, since it uses less digits than its factorization.

8534172240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56762 (or 56753 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8534172240 is about 92380.5836742765. The cubic root of 8534172240 is about 2043.5587823230.

Adding to 8534172240 its reverse (422714358), we get a palindrome (8956886598).

The spelling of 8534172240 in words is "eight billion, five hundred thirty-four million, one hundred seventy-two thousand, two hundred forty".