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8725242240 = 2734511213107
BaseRepresentation
bin10000010000001000…
…01010000110000000
3211112002002020020000
420020010022012000
5120332130222430
64001444120000
7426135223011
oct101004120600
924462066200
108725242240
113778198700
121836096000
13a9087ca40
145cab33008
15361006e60
hex20810a180

8725242240 has 960 divisors, whose sum is σ = 37228902480. Its totient is φ = 1934254080.

The previous prime is 8725242233. The next prime is 8725242287. The reversal of 8725242240 is 422425278.

8725242240 is a `hidden beast` number, since 8 + 72 + 524 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×87252422402 (a number of 21 digits) contains 22 as substring.

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 = 8725242195 and 8725242204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81544267 + ... + 81544373.

Almost surely, 28725242240 is an apocalyptic number.

8725242240 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 8725242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614451240).

8725242240 is an abundant number, since it is smaller than the sum of its proper divisors (28503660240).

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

8725242240 is a wasteful number, since it uses less digits than its factorization.

8725242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 8725242240 is about 93409.0051333382. The cubic root of 8725242240 is about 2058.6973131928.

The spelling of 8725242240 in words is "eight billion, seven hundred twenty-five million, two hundred forty-two thousand, two hundred forty".