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669888288 = 25329972333
BaseRepresentation
bin100111111011011…
…010111100100000
31201200111211222100
4213323122330200
52332442411123
6150250010400
722412646036
oct4773327440
91650454870
10669888288
11314152a93
12168416a00
13a8a28604
1464d7a556
153dc25643
hex27edaf20

669888288 has 72 divisors (see below), whose sum is σ = 1907722908. Its totient is φ = 222976512.

The previous prime is 669888287. The next prime is 669888341. The reversal of 669888288 is 882888966.

It can be written as a sum of positive squares in 2 ways, for example, as 660078864 + 9809424 = 25692^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (669888287) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 285970 + ... + 288302.

Almost surely, 2669888288 is an apocalyptic number.

It is an amenable number.

669888288 is an abundant number, since it is smaller than the sum of its proper divisors (1237834620).

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

669888288 is a wasteful number, since it uses less digits than its factorization.

669888288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3335 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The square root of 669888288 is about 25882.2002155922. The cubic root of 669888288 is about 874.9853768441.

The spelling of 669888288 in words is "six hundred sixty-nine million, eight hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 997 1994 2333 2991 3988 4666 5982 6999 7976 8973 9332 11964 13998 15952 17946 18664 20997 23928 27996 31904 35892 37328 41994 47856 55992 71784 74656 83988 95712 111984 143568 167976 223968 287136 335952 671904 2326001 4652002 6978003 9304004 13956006 18608008 20934009 27912012 37216016 41868018 55824024 74432032 83736036 111648048 167472072 223296096 334944144 669888288