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869494080 = 263571337269
BaseRepresentation
bin110011110100110…
…110110101000000
32020121002212122110
4303310312311000
53240042302310
6222140135320
730355402110
oct6364666500
92217085573
10869494080
11406896854
12203237540
1310b1a5350
1483699040
1551502d20
hex33d36d40

869494080 has 448 divisors, whose sum is σ = 3502517760. Its totient is φ = 177831936.

The previous prime is 869494079. The next prime is 869494123. The reversal of 869494080 is 80494968.

869494080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3232186 + ... + 3232454.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2869494080 is an apocalyptic number.

869494080 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 869494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751258880).

869494080 is an abundant number, since it is smaller than the sum of its proper divisors (2633023680).

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

869494080 is a wasteful number, since it uses less digits than its factorization.

869494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 869494080 is about 29487.1850131544. The cubic root of 869494080 is about 954.4551884629.

The spelling of 869494080 in words is "eight hundred sixty-nine million, four hundred ninety-four thousand, eighty".