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2012272808 = 2372133831031
BaseRepresentation
bin111011111110000…
…1101100010101000
312012020110001100112
41313330031202220
513110120212213
6531401553452
7100603015400
oct16774154250
95166401315
102012272808
1194296a387
12481aa5888
13260b83590
14151371800
15bb9d8ea8
hex77f0d8a8

2012272808 has 96 divisors (see below), whose sum is σ = 4743567360. Its totient is φ = 793215360.

The previous prime is 2012272789. The next prime is 2012272811. The reversal of 2012272808 is 8082722102.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1951253 + ... + 1952283.

It is an arithmetic number, because the mean of its divisors is an integer number (49412160).

Almost surely, 22012272808 is an apocalyptic number.

2012272808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012272808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371783680).

2012272808 is an abundant number, since it is smaller than the sum of its proper divisors (2731294552).

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

2012272808 is a wasteful number, since it uses less digits than its factorization.

2012272808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2012272808 is about 44858.3638578136. The cubic root of 2012272808 is about 1262.4929245494.

The spelling of 2012272808 in words is "two billion, twelve million, two hundred seventy-two thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 383 392 637 728 766 1031 1274 1532 2062 2548 2681 3064 4124 4979 5096 5362 7217 8248 9958 10724 13403 14434 18767 19916 21448 26806 28868 34853 37534 39832 50519 53612 57736 69706 75068 93821 101038 107224 139412 150136 187642 202076 243971 278824 375284 394873 404152 487942 656747 750568 789746 975884 1313494 1579492 1951768 2626988 2764111 3158984 5133349 5253976 5528222 10266698 11056444 19348777 20533396 22112888 35933443 38697554 41066792 71866886 77395108 143733772 154790216 251534101 287467544 503068202 1006136404 2012272808