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495041664 = 27313131757
BaseRepresentation
bin11101100000011…
…011110010000000
31021111111201111110
4131200123302000
52003212313124
6121042243320
715160533105
oct3540336200
91244451443
10495041664
11234490147
12119956540
137b73a280
1449a64aac
152d6d9029
hex1d81bc80

495041664 has 128 divisors (see below), whose sum is σ = 1428799680. Its totient is φ = 150958080.

The previous prime is 495041653. The next prime is 495041669. The reversal of 495041664 is 466140594.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (495041669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653574 + ... + 654330.

Almost surely, 2495041664 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 495041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714399840).

495041664 is an abundant number, since it is smaller than the sum of its proper divisors (933758016).

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

495041664 is a wasteful number, since it uses less digits than its factorization.

495041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 495041664 is about 22249.5317703542. The cubic root of 495041664 is about 791.0681827576.

The spelling of 495041664 in words is "four hundred ninety-five million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 262 312 384 393 416 524 624 757 786 832 1048 1248 1514 1572 1664 1703 2096 2271 2496 3028 3144 3406 4192 4542 4992 5109 6056 6288 6812 8384 9084 9841 10218 12112 12576 13624 16768 18168 19682 20436 24224 25152 27248 29523 36336 39364 40872 48448 50304 54496 59046 72672 78728 81744 96896 99167 108992 118092 145344 157456 163488 198334 217984 236184 290688 297501 314912 326976 396668 472368 595002 629824 653952 793336 944736 1190004 1259648 1289171 1586672 1889472 2380008 2578342 3173344 3778944 3867513 4760016 5156684 6346688 7735026 9520032 10313368 12693376 15470052 19040064 20626736 30940104 38080128 41253472 61880208 82506944 123760416 165013888 247520832 495041664