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531194664 = 2337111322111
BaseRepresentation
bin11111101010010…
…110001100101000
31101000112111002110
4133222112030220
52041441212124
6124413202320
716110036330
oct3752261450
91330474073
10531194664
11252933460
12129a903a0
1386087a90
14507960c0
153197b029
hex1fa96328

531194664 has 128 divisors (see below), whose sum is σ = 1783111680. Its totient is φ = 127353600.

The previous prime is 531194663. The next prime is 531194687. The reversal of 531194664 is 466491135.

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 (531194663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12969 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (13930560).

Almost surely, 2531194664 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 531194664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891555840).

531194664 is an abundant number, since it is smaller than the sum of its proper divisors (1251917016).

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

531194664 is a wasteful number, since it uses less digits than its factorization.

531194664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22151 (or 22147 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 531194664 is about 23047.6607055901. The cubic root of 531194664 is about 809.8748290043.

The spelling of 531194664 in words is "five hundred thirty-one million, one hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 22111 24024 44222 66333 88444 132666 154777 176888 243221 265332 287443 309554 464331 486442 530664 574886 619108 729663 862329 928662 972884 1149772 1238216 1459326 1702547 1724658 1857324 1945768 2012101 2299544 2918652 3161873 3405094 3449316 3714648 4024202 5107641 5837304 6036303 6323746 6810188 6898632 8048404 9485619 10215282 12072606 12647492 13620376 16096808 18971238 20430564 22133111 24145212 25294984 37942476 40861128 44266222 48290424 66399333 75884952 88532444 132798666 177064888 265597332 531194664