Search a number
-
+
8069292 = 22327114171
BaseRepresentation
bin11110110010000010101100
3120011221222200
4132302002230
54031204132
6444541500
7125405430
oct36620254
916157880
108069292
114611640
122851890
131896b3a
1411009c0
15a95d7c
hex7b20ac

8069292 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2016000.

The previous prime is 8069291. The next prime is 8069311. The reversal of 8069292 is 2929608.

8069292 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80692922 = 130226946762528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8069291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113617 + ... + 113687.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 28069292 is an apocalyptic number.

8069292 is a gapful number since it is divisible by the number (82) 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 8069292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

8069292 is an abundant number, since it is smaller than the sum of its proper divisors (18348372).

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

8069292 is a wasteful number, since it uses less digits than its factorization.

8069292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

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

The square root of 8069292 is about 2840.6499256332. The cubic root of 8069292 is about 200.5757741632.

The spelling of 8069292 in words is "eight million, sixty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 71 77 82 84 99 123 126 132 142 154 164 198 213 231 246 252 284 287 308 369 396 426 451 462 492 497 574 639 693 738 781 852 861 902 924 994 1148 1278 1353 1386 1476 1491 1562 1722 1804 1988 2343 2556 2583 2706 2772 2911 2982 3124 3157 3444 4059 4473 4686 5166 5412 5467 5822 5964 6314 7029 8118 8733 8946 9372 9471 10332 10934 11644 12628 14058 16236 16401 17466 17892 18942 20377 21868 26199 28116 28413 32021 32802 34932 37884 40754 49203 52398 56826 61131 64042 65604 81508 96063 98406 104796 113652 122262 128084 183393 192126 196812 224147 244524 288189 366786 384252 448294 576378 672441 733572 896588 1152756 1344882 2017323 2689764 4034646 8069292