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857243088 = 243413174173
BaseRepresentation
bin110011000110000…
…111110111010000
32012202001110110000
4303012013313100
53223423234323
6221021410000
730146305662
oct6306076720
92182043400
10857243088
113aa989469
121bb109900
131087a6040
1481bca532
15503d2e43
hex33187dd0

857243088 has 400 divisors, whose sum is σ = 2937843216. Its totient is φ = 238878720.

The previous prime is 857243087. The next prime is 857243089. The reversal of 857243088 is 880342758.

857243088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (857243087) and next prime (857243089).

It can be written as a sum of positive squares in 8 ways, for example, as 72795024 + 784448064 = 8532^2 + 28008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857243087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11743020 + ... + 11743092.

Almost surely, 2857243088 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 857243088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468921608).

857243088 is an abundant number, since it is smaller than the sum of its proper divisors (2080600128).

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

857243088 is a wasteful number, since it uses less digits than its factorization.

857243088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 857243088 is about 29278.7139061811. The cubic root of 857243088 is about 949.9512765408.

The spelling of 857243088 in words is "eight hundred fifty-seven million, two hundred forty-three thousand, eighty-eight".