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531442296 = 233471110651
BaseRepresentation
bin11111101011010…
…010101001111000
31101001000001210000
4133223102221320
52042022123141
6124422353000
716112120310
oct3753225170
91331001700
10531442296
11252a92510
12129b8b760
13861436c8
145081c440
15319c95b6
hex1fad2a78

531442296 has 160 divisors (see below), whose sum is σ = 1856004480. Its totient is φ = 138024000.

The previous prime is 531442273. The next prime is 531442297. The reversal of 531442296 is 692244135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 531442296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531442297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44571 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (11600028).

Almost surely, 2531442296 is an apocalyptic number.

531442296 is a gapful number since it is divisible by the number (56) 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 531442296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928002240).

531442296 is an abundant number, since it is smaller than the sum of its proper divisors (1324562184).

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

531442296 is a wasteful number, since it uses less digits than its factorization.

531442296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10674 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 531442296 is about 23053.0322517451. The cubic root of 531442296 is about 810.0006584357. Note that the first 3 decimals are identical.

The spelling of 531442296 in words is "five hundred thirty-one million, four hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 10651 12474 16632 21302 24948 31953 42604 49896 63906 74557 85208 95859 117161 127812 149114 191718 223671 234322 255624 287577 298228 351483 383436 447342 468644 575154 596456 671013 702966 766872 820127 862731 894684 937288 1054449 1150308 1342026 1405932 1640254 1725462 1789368 2013039 2108898 2300616 2460381 2684052 2811864 3163347 3280508 3450924 4026078 4217796 4920762 5368104 6039117 6326694 6561016 6901848 7381143 8052156 8435592 9490041 9841524 12078234 12653388 14762286 16104312 18980082 19683048 22143429 24156468 25306776 29524572 37960164 44286858 48312936 59049144 66430287 75920328 88573716 132860574 177147432 265721148 531442296