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872134146 = 2321312729347
BaseRepresentation
bin110011111110111…
…011011000000010
32020210002000010200
4303332323120002
53241231243041
6222312510030
730420006102
oct6376733002
92223060120
10872134146
1140832a324
122040ab316
1310b8bac10
1483b85202
15518751b6
hex33fbb602

872134146 has 48 divisors (see below), whose sum is σ = 2051073024. Its totient is φ = 266226912.

The previous prime is 872134099. The next prime is 872134147. The reversal of 872134146 is 641431278.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 872134146.

It is not an unprimeable number, because it can be changed into a prime (872134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15045 + ... + 44391.

It is an arithmetic number, because the mean of its divisors is an integer number (42730688).

Almost surely, 2872134146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872134146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025536512).

872134146 is an abundant number, since it is smaller than the sum of its proper divisors (1178938878).

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

872134146 is a wasteful number, since it uses less digits than its factorization.

872134146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29495 (or 29492 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 872134146 is about 29531.9174115058. The cubic root of 872134146 is about 955.4202242263.

The spelling of 872134146 in words is "eight hundred seventy-two million, one hundred thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 3302 4953 9906 14859 29347 29718 58694 88041 176082 264123 381511 528246 763022 1144533 2289066 3433599 3727069 6867198 7454138 11181207 22362414 33543621 48451897 67087242 96903794 145355691 290711382 436067073 872134146