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869412096 = 28337217151
BaseRepresentation
bin110011110100100…
…010110100000000
32020120221201012000
4303310202310000
53240032141341
6222134304000
730354611100
oct6364426400
92216851160
10869412096
114068401a3
122031b8000
1310b176c37
1483677200
15514d88b6
hex33d22d00

869412096 has 432 divisors, whose sum is σ = 3187658880. Its totient is φ = 232243200.

The previous prime is 869412059. The next prime is 869412101. The reversal of 869412096 is 690214968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8694120962 = 1511754785342226432, which contains 22 as substring.

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, 5757621 + ... + 5757771.

It is an arithmetic number, because the mean of its divisors is an integer number (7378840).

Almost surely, 2869412096 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 869412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593829440).

869412096 is an abundant number, since it is smaller than the sum of its proper divisors (2318246784).

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

869412096 is a wasteful number, since it uses less digits than its factorization.

869412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 869412096 is about 29485.7948171658. The cubic root of 869412096 is about 954.4251892118.

The spelling of 869412096 in words is "eight hundred sixty-nine million, four hundred twelve thousand, ninety-six".