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8091144 = 233347797
BaseRepresentation
bin11110110111011000001000
3120020001222000
4132313120020
54032404034
6445231000
7125526225
oct36673010
916201860
108091144
114626aa6
122862460
1318a3a79
14110894c
15a9c599
hex7b7608

8091144 has 64 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2636352.

The previous prime is 8091143. The next prime is 8091151. The reversal of 8091144 is 4411908.

8091144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×80911442 = 130933222457472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8091143) 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, 9754 + ... + 10550.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 28091144 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 8091144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

8091144 is an abundant number, since it is smaller than the sum of its proper divisors (14891256).

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

8091144 is a wasteful number, since it uses less digits than its factorization.

8091144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

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

The square root of 8091144 is about 2844.4936280470. The cubic root of 8091144 is about 200.7566669984.

It can be divided in two parts, 809 and 1144, that added together give a triangular number (1953 = T62).

The spelling of 8091144 in words is "eight million, ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 797 846 1128 1269 1594 1692 2391 2538 3188 3384 4782 5076 6376 7173 9564 10152 14346 19128 21519 28692 37459 43038 57384 74918 86076 112377 149836 172152 224754 299672 337131 449508 674262 899016 1011393 1348524 2022786 2697048 4045572 8091144