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806875400 = 235227114887
BaseRepresentation
bin110000000101111…
…111000100001000
32002020021111222002
4300011333010020
53123030003100
6212022050132
725665220262
oct6005770410
92066244862
10806875400
11384507481
121a6279948
13cb21c486
1479238b32
154ac842d5
hex3017f108

806875400 has 48 divisors (see below), whose sum is σ = 1883034240. Its totient is φ = 321537600.

The previous prime is 806875387. The next prime is 806875411. The reversal of 806875400 is 4578608.

It is a super-2 number, since 2×8068754002 = 1302095822250320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46757 + ... + 61643.

It is an arithmetic number, because the mean of its divisors is an integer number (39229880).

Almost surely, 2806875400 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 806875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941517120).

806875400 is an abundant number, since it is smaller than the sum of its proper divisors (1076158840).

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

806875400 is a wasteful number, since it uses less digits than its factorization.

806875400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15174 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 806875400 is about 28405.5522741594. The cubic root of 806875400 is about 930.9695827015.

The spelling of 806875400 in words is "eight hundred six million, eight hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 542 1084 1355 2168 2710 5420 6775 10840 13550 14887 27100 29774 54200 59548 74435 119096 148870 297740 372175 595480 744350 1488700 2977400 4034377 8068754 16137508 20171885 32275016 40343770 80687540 100859425 161375080 201718850 403437700 806875400