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531481664 = 2677915017
BaseRepresentation
bin11111101011011…
…100010001000000
31101001002001210002
4133223130101000
52042024403124
6124423255132
716112343140
oct3753342100
91331061702
10531481664
1125300a04a
12129baa4a8
13861585bc
145082c920
15319d60ae
hex1fadc440

531481664 has 56 divisors (see below), whose sum is σ = 1220663040. Its totient is φ = 224879616.

The previous prime is 531481633. The next prime is 531481667. The reversal of 531481664 is 466184135.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (531481667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27884 + ... + 42900.

Almost surely, 2531481664 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 531481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610331520).

531481664 is an abundant number, since it is smaller than the sum of its proper divisors (689181376).

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

531481664 is a wasteful number, since it uses less digits than its factorization.

531481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15115 (or 15105 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 531481664 is about 23053.8860932382. The cubic root of 531481664 is about 810.0206589254.

The spelling of 531481664 in words is "five hundred thirty-one million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 8848 15017 17696 30034 35392 60068 105119 120136 210238 240272 420476 480544 840952 961088 1186343 1681904 2372686 3363808 4745372 6727616 8304401 9490744 16608802 18981488 33217604 37962976 66435208 75925952 132870416 265740832 531481664