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806275232 = 25722316141
BaseRepresentation
bin110000000011101…
…100100010100000
32002012011000200122
4300003230202200
53122401301412
6212001135412
725660140440
oct6003544240
92065130618
10806275232
11384137574
121a602a568
13cb06c249
1479120120
154abb6572
hex300ec8a0

806275232 has 48 divisors (see below), whose sum is σ = 1822367232. Its totient is φ = 343975680.

The previous prime is 806275231. The next prime is 806275237. The reversal of 806275232 is 232572608.

It is a junction number, because it is equal to n+sod(n) for n = 806275192 and 806275201.

It is not an unprimeable number, because it can be changed into a prime (806275231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41882 + ... + 58022.

It is an arithmetic number, because the mean of its divisors is an integer number (37965984).

Almost surely, 2806275232 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 806275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911183616).

806275232 is an abundant number, since it is smaller than the sum of its proper divisors (1016092000).

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

806275232 is a wasteful number, since it uses less digits than its factorization.

806275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16381 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 806275232 is about 28394.9860362706. The cubic root of 806275232 is about 930.7387016416.

The spelling of 806275232 in words is "eight hundred six million, two hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 3122 3568 6244 7136 12488 16141 24976 32282 49952 64564 112987 129128 225974 258256 451948 516512 903896 1807792 3599443 3615584 7198886 14397772 25196101 28795544 50392202 57591088 100784404 115182176 201568808 403137616 806275232