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531408192 = 26372317191
BaseRepresentation
bin11111101011001…
…010010101000000
31101000221022222220
4133223022111000
52042020030232
6124421531040
716111616010
oct3753122500
91330838886
10531408192
11252a69927
12129b73a80
1386131023
145080dc40
15319be42c
hex1faca540

531408192 has 112 divisors (see below), whose sum is σ = 1676838912. Its totient is φ = 145221120.

The previous prime is 531408187. The next prime is 531408193. The reversal of 531408192 is 291804135.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531408193) 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, 22317 + ... + 39507.

It is an arithmetic number, because the mean of its divisors is an integer number (14971776).

Almost surely, 2531408192 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 531408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838419456).

531408192 is an abundant number, since it is smaller than the sum of its proper divisors (1145430720).

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

531408192 is a wasteful number, since it uses less digits than its factorization.

531408192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17236 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 531408192 is about 23052.2925541040. The cubic root of 531408192 is about 809.9833314662.

The spelling of 531408192 in words is "five hundred thirty-one million, four hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 17191 30912 34382 51573 68764 103146 120337 137528 206292 240674 275056 361011 395393 412584 481348 550112 722022 790786 825168 962696 1100224 1186179 1444044 1581572 1650336 1925392 2372358 2767751 2888088 3163144 3300672 3850784 4744716 5535502 5776176 6326288 7701568 8303253 9489432 11071004 11552352 12652576 16606506 18978864 22142008 23104704 25305152 33213012 37957728 44284016 66426024 75915456 88568032 132852048 177136064 265704096 531408192