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531645216 = 253171991637
BaseRepresentation
bin11111101100000…
…100001100100000
31101001101101010120
4133230010030200
52042100121331
6124431000240
716113624024
oct3754041440
91331341116
10531645216
11253110a13
1212a069080
13861b4b8b
1450872384
1531a19796
hex1fb04320

531645216 has 96 divisors (see below), whose sum is σ = 1485993600. Its totient is φ = 165851136.

The previous prime is 531645209. The next prime is 531645221. The reversal of 531645216 is 612546135.

It is a tau number, because it is divible by the number of its divisors (96).

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, 323950 + ... + 325586.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2531645216 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 531645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

531645216 is an abundant number, since it is smaller than the sum of its proper divisors (954348384).

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

531645216 is a wasteful number, since it uses less digits than its factorization.

531645216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 531645216 is about 23057.4329880843. The cubic root of 531645216 is about 810.1037391900.

The spelling of 531645216 in words is "five hundred thirty-one million, six hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 199 204 272 398 408 544 597 796 816 1194 1592 1632 1637 2388 3184 3274 3383 4776 4911 6368 6548 6766 9552 9822 10149 13096 13532 19104 19644 20298 26192 27064 27829 39288 40596 52384 54128 55658 78576 81192 83487 108256 111316 157152 162384 166974 222632 324768 325763 333948 445264 651526 667896 890528 977289 1303052 1335792 1954578 2606104 2671584 3909156 5212208 5537971 7818312 10424416 11075942 15636624 16613913 22151884 31273248 33227826 44303768 66455652 88607536 132911304 177215072 265822608 531645216