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804805248 = 27313263613
BaseRepresentation
bin101111111110000…
…101101010000000
32002002101100020210
4233332011222000
53122012231443
6211505434120
725641505662
oct5776055200
92062340223
10804805248
11383323105
121a563b940
13ca976130
1478c5a532
154a9c5c33
hex2ff85a80

804805248 has 128 divisors (see below), whose sum is σ = 2314730880. Its totient is φ = 246288384.

The previous prime is 804805237. The next prime is 804805271. The reversal of 804805248 is 842508408.

804805248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8048052482 = 1295422974416683008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312590 + ... + 1313202.

It is an arithmetic number, because the mean of its divisors is an integer number (18083835).

Almost surely, 2804805248 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 804805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157365440).

804805248 is an abundant number, since it is smaller than the sum of its proper divisors (1509925632).

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

804805248 is a wasteful number, since it uses less digits than its factorization.

804805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 804805248 is about 28369.0896575833. The cubic root of 804805248 is about 930.1727231510.

The spelling of 804805248 in words is "eight hundred four million, eight hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 263 312 384 416 526 613 624 789 832 1052 1226 1248 1578 1664 1839 2104 2452 2496 3156 3419 3678 4208 4904 4992 6312 6838 7356 7969 8416 9808 10257 12624 13676 14712 15938 16832 19616 20514 23907 25248 27352 29424 31876 33664 39232 41028 47814 50496 54704 58848 63752 78464 82056 95628 100992 109408 117696 127504 161219 164112 191256 218816 235392 255008 322438 328224 382512 437632 483657 510016 644876 656448 765024 967314 1020032 1289752 1312896 1530048 1934628 2095847 2579504 3060096 3869256 4191694 5159008 6287541 7738512 8383388 10318016 12575082 15477024 16766776 20636032 25150164 30954048 33533552 50300328 61908096 67067104 100600656 134134208 201201312 268268416 402402624 804805248