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8022028 = 2271719887
BaseRepresentation
bin11110100110100000001100
3120002120011011
4132212200030
54023201103
6443535004
7125120560
oct36464014
916076134
108022028
11458a083
12282a464
13187b481
1410cb6a0
15a86d6d
hex7a680c

8022028 has 48 divisors (see below), whose sum is σ = 17902080. Its totient is φ = 3062016.

The previous prime is 8022017. The next prime is 8022029. The reversal of 8022028 is 8202208.

It is not an unprimeable number, because it can be changed into a prime (8022029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8601 + ... + 9487.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 28022028 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 8022028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951040).

8022028 is an abundant number, since it is smaller than the sum of its proper divisors (9880052).

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

8022028 is a wasteful number, since it uses less digits than its factorization.

8022028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8022028 is about 2832.3184849166. The cubic root of 8022028 is about 200.1833984403.

The spelling of 8022028 in words is "eight million, twenty-two thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 887 1292 1774 2261 3548 4522 6209 9044 12418 15079 16853 24836 30158 33706 60316 67412 105553 117971 211106 235942 286501 422212 471884 573002 1146004 2005507 4011014 8022028