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804090906 = 2321922910267
BaseRepresentation
bin101111111011010…
…111010000011010
32002001001001100200
4233323113100122
53121321402111
6211442243030
725632442233
oct5773272032
92061031320
10804090906
11382985443
121a5356476
13ca785c48
1478b1208a
154a8d4256
hex2fed741a

804090906 has 48 divisors (see below), whose sum is σ = 1842079200. Its totient is φ = 252789984.

The previous prime is 804090901. The next prime is 804090913. The reversal of 804090906 is 609090408.

It is a super-2 number, since 2×8040909062 = 1293124370223801672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (804090901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73185 + ... + 83451.

It is an arithmetic number, because the mean of its divisors is an integer number (38376650).

Almost surely, 2804090906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804090906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921039600).

804090906 is an abundant number, since it is smaller than the sum of its proper divisors (1037988294).

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

804090906 is a wasteful number, since it uses less digits than its factorization.

804090906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 804090906 is about 28356.4967159203. The cubic root of 804090906 is about 929.8974357929.

The spelling of 804090906 in words is "eight hundred four million, ninety thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 229 342 458 687 1374 2061 4122 4351 8702 10267 13053 20534 26106 30801 39159 61602 78318 92403 184806 195073 390146 585219 1170438 1755657 2351143 3511314 4702286 7053429 14106858 21160287 42320574 44671717 89343434 134015151 268030302 402045453 804090906