Search a number
-
+
27983328 = 253319403
BaseRepresentation
bin110101010111…
…1110111100000
31221122200220120
41222233313200
524130431303
62435440240
7456566022
oct152576740
957580816
1027983328
111488331a
129456080
135a4a0a9
143a06012
1526cb553
hex1aafde0

27983328 has 48 divisors (see below), whose sum is σ = 75833856. Its totient is φ = 9025920.

The previous prime is 27983321. The next prime is 27983353. The reversal of 27983328 is 82338972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27983328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27983321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726 + ... + 7677.

It is an arithmetic number, because the mean of its divisors is an integer number (1579872).

Almost surely, 227983328 is an apocalyptic number.

It is an amenable number.

27983328 is an abundant number, since it is smaller than the sum of its proper divisors (47850528).

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

27983328 is a wasteful number, since it uses less digits than its factorization.

27983328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9439 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 27983328 is about 5289.9270316329. The cubic root of 27983328 is about 303.5986161605.

The spelling of 27983328 in words is "twenty-seven million, nine hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 9403 18806 28209 37612 56418 75224 112836 150448 225672 291493 300896 451344 582986 874479 902688 1165972 1748958 2331944 3497916 4663888 6995832 9327776 13991664 27983328