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869713152 = 28372112191
BaseRepresentation
bin110011110101101…
…100010100000000
32020121112000011020
4303311230110000
53240121310102
6222144545440
730360303600
oct6365542400
92217460136
10869713152
11406a26400
12203322280
1310b250c89
1483714c00
1551547bbc
hex33d6c500

869713152 has 324 divisors, whose sum is σ = 2975148288. Its totient is φ = 224716800.

The previous prime is 869713147. The next prime is 869713171. The reversal of 869713152 is 251317968.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4553377 + ... + 4553567.

Almost surely, 2869713152 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 869713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487574144).

869713152 is an abundant number, since it is smaller than the sum of its proper divisors (2105435136).

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

869713152 is a wasteful number, since it uses less digits than its factorization.

869713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 214 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 869713152 is about 29490.8994776355. The cubic root of 869713152 is about 954.5353411454.

The spelling of 869713152 in words is "eight hundred sixty-nine million, seven hundred thirteen thousand, one hundred fifty-two".