Search a number
-
+
927988992 = 28327163353
BaseRepresentation
bin110111010011111…
…111110100000000
32101200011201120200
4313103333310000
53400031121432
6232030005200
731665530160
oct6723776400
92350151520
10927988992
11436909957
1221a946800
1311a346218
148b3645a0
1556709a7c
hex374ffd00

927988992 has 216 divisors, whose sum is σ = 3085328064. Its totient is φ = 262766592.

The previous prime is 927988967. The next prime is 927989003. The reversal of 927988992 is 299889729.

It is a super-2 number, since 2×9279889922 = 1722327138546352128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628688 + ... + 2629040.

Almost surely, 2927988992 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 927988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542664032).

927988992 is an abundant number, since it is smaller than the sum of its proper divisors (2157339072).

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

927988992 is a wasteful number, since it uses less digits than its factorization.

927988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The square root of 927988992 is about 30462.9117452682. The cubic root of 927988992 is about 975.3959354462.

The spelling of 927988992 in words is "nine hundred twenty-seven million, nine hundred eighty-eight thousand, nine hundred ninety-two".