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531666512 = 241319294639
BaseRepresentation
bin11111101100001…
…001011001010000
31101001102110100022
4133230021121100
52042101312022
6124431243012
716114043066
oct3754113120
91331373308
10531666512
11253125a13
1212a079468
13861c1790
145087a036
1531a20c42
hex1fb09650

531666512 has 80 divisors (see below), whose sum is σ = 1208256000. Its totient is φ = 224404992.

The previous prime is 531666503. The next prime is 531666571. The reversal of 531666512 is 215666135.

It is a super-2 number, since 2×5316665122 = 565338559964492288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112289 + ... + 116927.

It is an arithmetic number, because the mean of its divisors is an integer number (15103200).

Almost surely, 2531666512 is an apocalyptic number.

531666512 is a gapful number since it is divisible by the number (52) 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 531666512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604128000).

531666512 is an abundant number, since it is smaller than the sum of its proper divisors (676589488).

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

531666512 is a wasteful number, since it uses less digits than its factorization.

531666512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4702 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 531666512 is about 23057.8947868187. The cubic root of 531666512 is about 810.1145557636.

The spelling of 531666512 in words is "five hundred thirty-one million, six hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 76 104 116 152 208 232 247 304 377 464 494 551 754 988 1102 1508 1976 2204 3016 3952 4408 4639 6032 7163 8816 9278 14326 18556 28652 37112 57304 60307 74224 88141 114608 120614 134531 176282 241228 269062 352564 482456 538124 705128 964912 1076248 1145833 1410256 1748903 2152496 2291666 2556089 3497806 4583332 5112178 6995612 9166664 10224356 13991224 18333328 20448712 27982448 33229157 40897424 66458314 132916628 265833256 531666512