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8023372 = 2272941241
BaseRepresentation
bin11110100110110101001100
3120002121222221
4132212311030
54023221442
6443545124
7125124520
oct36466514
916077887
108023372
114590095
12282b1a4
13187bc76
1410cbd80
15a87467
hex7a6d4c

8023372 has 48 divisors (see below), whose sum is σ = 17075520. Its totient is φ = 3225600.

The previous prime is 8023369. The next prime is 8023387. The reversal of 8023372 is 2733208.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33172 + ... + 33412.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 28023372 is an apocalyptic number.

8023372 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 8023372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537760).

8023372 is an abundant number, since it is smaller than the sum of its proper divisors (9052148).

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

8023372 is a wasteful number, since it uses less digits than its factorization.

8023372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 8023372 is about 2832.5557364331. Note that the first 3 decimals coincide. The cubic root of 8023372 is about 200.1945773036.

The spelling of 8023372 in words is "eight million, twenty-three thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 203 241 287 406 482 574 812 964 1148 1189 1687 2378 3374 4756 6748 6989 8323 9881 13978 16646 19762 27956 33292 39524 48923 69167 97846 138334 195692 276668 286549 573098 1146196 2005843 4011686 8023372