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669247488 = 21133721319
BaseRepresentation
bin100111111000111…
…110100000000000
31201122022021222000
4213320332200000
52332311404423
6150224144000
722404336600
oct4770764000
91648267860
10669247488
113138555a8
12168168000
13a8862a40
1464c50c00
153db4a843
hex27e3e800

669247488 has 576 divisors, whose sum is σ = 2614248000. Its totient is φ = 167215104.

The previous prime is 669247477. The next prime is 669247489. The reversal of 669247488 is 884742966.

669247488 is a `hidden beast` number, since 6 + 6 + 92 + 474 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669247489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223543 + ... + 35223561.

It is an arithmetic number, because the mean of its divisors is an integer number (4538625).

Almost surely, 2669247488 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 669247488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124000).

669247488 is an abundant number, since it is smaller than the sum of its proper divisors (1945000512).

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

669247488 is a wasteful number, since it uses less digits than its factorization.

669247488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 669247488 is about 25869.8180898127. The cubic root of 669247488 is about 874.7062907557.

The spelling of 669247488 in words is "six hundred sixty-nine million, two hundred forty-seven thousand, four hundred eighty-eight".