Search a number
-
+
9042816 = 27323549
BaseRepresentation
bin100010011111…
…101110000000
3122000102102010
4202133232000
54303332231
6521452520
7136601616
oct42375600
918012363
109042816
115117002
123041140
131b47ca3
1412b56b6
15bd9546
hex89fb80

9042816 has 32 divisors (see below), whose sum is σ = 24021000. Its totient is φ = 3014144.

The previous prime is 9042797. The next prime is 9042829. The reversal of 9042816 is 6182409.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 97 + 0 + 411 + 215 + 85 + 1 + 6 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11391 + ... + 12158.

Almost surely, 29042816 is an apocalyptic number.

9042816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9042816 is an abundant number, since it is smaller than the sum of its proper divisors (14978184).

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

9042816 is a wasteful number, since it uses less digits than its factorization.

9042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23566 (or 23554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9042816 is about 3007.1275330454. The cubic root of 9042816 is about 208.3377156767.

The spelling of 9042816 in words is "nine million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 23549 47098 70647 94196 141294 188392 282588 376784 565176 753568 1130352 1507136 2260704 3014272 4521408 9042816