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8042544 = 243318617
BaseRepresentation
bin11110101011100000110000
3120010121022000
4132223200300
54024330134
6444214000
7125234436
oct36534060
916117260
108042544
1145a3534
12283a300
131887903
1410d4d56
15a8ce99
hex7ab830

8042544 has 40 divisors (see below), whose sum is σ = 23086320. Its totient is φ = 2680704.

The previous prime is 8042543. The next prime is 8042563. The reversal of 8042544 is 4452408.

8042544 is a `hidden beast` number, since 80 + 42 + 544 = 666.

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 (8042543) 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 7 ways as a sum of consecutive naturals, for example, 8877 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (577158).

Almost surely, 28042544 is an apocalyptic number.

It is an amenable number.

8042544 is an abundant number, since it is smaller than the sum of its proper divisors (15043776).

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

8042544 is a wasteful number, since it uses less digits than its factorization.

8042544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18634 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 8042544 is about 2835.9379400826. The cubic root of 8042544 is about 200.3539067141.

It can be divided in two parts, 80 and 42544, that added together give a palindrome (42624).

The spelling of 8042544 in words is "eight million, forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 18617 37234 55851 74468 111702 148936 167553 223404 297872 335106 446808 502659 670212 893616 1005318 1340424 2010636 2680848 4021272 8042544