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806044840 = 235674
BaseRepresentation
bin110000000010110…
…100010010101000
32002011201022122121
4300002310102220
53122321413330
6211552201024
725655160646
oct6002642250
92064638577
10806044840
11383a9a467
121a5b39174
13cacbb413
14790a0196
154ab6d17a
hex300b44a8

806044840 has 40 divisors (see below), whose sum is σ = 1841079690. Its totient is φ = 317605728.

The previous prime is 806044823. The next prime is 806044859. The reversal of 806044840 is 48440608.

It can be written as a sum of positive squares in only one way, i.e., 725440356 + 80604484 = 26934^2 + 8978^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 806044796 and 806044805.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12030487 + ... + 12030553.

Almost surely, 2806044840 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 806044840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920539845).

806044840 is an abundant number, since it is smaller than the sum of its proper divisors (1035034850).

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

806044840 is an frugal number, since it uses more digits than its factorization.

806044840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 806044840 is about 28390.9288329917. The cubic root of 806044840 is about 930.6500407764.

It can be divided in two parts, 8060 and 44840, that added together give a square (52900 = 2302).

The spelling of 806044840 in words is "eight hundred six million, forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 4489 8978 17956 22445 35912 44890 89780 179560 300763 601526 1203052 1503815 2406104 3007630 6015260 12030520 20151121 40302242 80604484 100755605 161208968 201511210 403022420 806044840