Search a number
-
+
6991488 = 27337172
BaseRepresentation
bin11010101010111010000000
3111011012112000
4122222322000
53242211423
6405504000
7113266230
oct32527200
914135460
106991488
113a45899
122412000
1315aa39a
14cddcc0
15931843
hex6aae80

6991488 has 192 divisors, whose sum is σ = 25051200. Its totient is φ = 1880064.

The previous prime is 6991463. The next prime is 6991493. The reversal of 6991488 is 8841996.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (124416) is a multiple of the sum of its prime factors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411256 + ... + 411272.

It is an arithmetic number, because the mean of its divisors is an integer number (130475).

Almost surely, 26991488 is an apocalyptic number.

6991488 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6991488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525600).

6991488 is an abundant number, since it is smaller than the sum of its proper divisors (18059712).

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

6991488 is a wasteful number, since it uses less digits than its factorization.

6991488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 6991488 is about 2644.1422049504. The cubic root of 6991488 is about 191.2155493502.

It can be divided in two parts, 699 and 1488, that added together give a 7-th power (2187 = 37).

The spelling of 6991488 in words is "six million, nine hundred ninety-one thousand, four hundred eighty-eight".