Search a number
-
+
8390284992 = 263317253317
BaseRepresentation
bin1111101000001100…
…11001011011000000
3210122201210122021000
413310012121123000
5114140403104432
63504320532000
7414630150165
oct76406313300
923581718230
108390284992
113616108331
121761a81000
13a3936279b
1459846006c
153418e057c
hex1f41996c0

8390284992 has 336 divisors, whose sum is σ = 26780764320. Its totient is φ = 2574434304.

The previous prime is 8390284979. The next prime is 8390284997. The reversal of 8390284992 is 2994820938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8390284997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26467618 + ... + 26467934.

Almost surely, 28390284992 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 8390284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390382160).

8390284992 is an abundant number, since it is smaller than the sum of its proper divisors (18390479328).

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

8390284992 is a wasteful number, since it uses less digits than its factorization.

8390284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 8390284992 is about 91598.4988523284. The cubic root of 8390284992 is about 2032.0087368132.

The spelling of 8390284992 in words is "eight billion, three hundred ninety million, two hundred eighty-four thousand, nine hundred ninety-two".