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800900802 = 2321322311447
BaseRepresentation
bin101111101111001…
…100011011000010
32001211000222100200
4233233030123002
53120012311202
6211250030030
725563354522
oct5757143302
92054028320
10800900802
113810a6699
121a4278316
13c9c09c00
1478521682
154a4a3e1c
hex2fbcc6c2

800900802 has 72 divisors (see below), whose sum is σ = 1960905024. Its totient is φ = 235696032.

The previous prime is 800900791. The next prime is 800900827. The reversal of 800900802 is 208009008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64243 + ... + 75689.

It is an arithmetic number, because the mean of its divisors is an integer number (27234792).

Almost surely, 2800900802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800900802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980452512).

800900802 is an abundant number, since it is smaller than the sum of its proper divisors (1160004222).

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

800900802 is a wasteful number, since it uses less digits than its factorization.

800900802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800900802 is about 28300.1908474130. The cubic root of 800900802 is about 928.6660654022. Note that the first 3 decimals are identical.

The spelling of 800900802 in words is "eight hundred million, nine hundred thousand, eight hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 414 507 598 897 1014 1521 1794 2691 3042 3887 5382 7774 11447 11661 22894 23322 34341 34983 68682 69966 103023 148811 206046 263281 297622 446433 526562 789843 892866 1339299 1579686 1934543 2369529 2678598 3422653 3869086 4739058 5803629 6845306 10267959 11607258 17410887 20535918 30803877 34821774 44494489 61607754 88988978 133483467 266966934 400450401 800900802