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531366048 = 25332932099
BaseRepresentation
bin11111101011000…
…000000010100000
31101000212012012000
4133223000002200
52042012203143
6124421004000
716111352103
oct3753000240
91330765160
10531366048
11252a401a4
12129b53600
1386117aa5
14507dc73a
15319b1bd3
hex1fac00a0

531366048 has 96 divisors (see below), whose sum is σ = 1555848000. Its totient is φ = 176433408.

The previous prime is 531366047. The next prime is 531366049. The reversal of 531366048 is 840663135.

It is an interprime number because it is at equal distance from previous prime (531366047) and next prime (531366049).

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

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

It is not an unprimeable number, because it can be changed into a prime (531366041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252103 + ... + 254201.

It is an arithmetic number, because the mean of its divisors is an integer number (16206750).

Almost surely, 2531366048 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 531366048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777924000).

531366048 is an abundant number, since it is smaller than the sum of its proper divisors (1024481952).

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

531366048 is a wasteful number, since it uses less digits than its factorization.

531366048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2397 counting only the distinct ones).

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

The square root of 531366048 is about 23051.3784403450. The cubic root of 531366048 is about 809.9619186486.

The spelling of 531366048 in words is "five hundred thirty-one million, three hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 293 432 586 864 879 1172 1758 2099 2344 2637 3516 4198 4688 5274 6297 7032 7911 8396 9376 10548 12594 14064 15822 16792 18891 21096 25188 28128 31644 33584 37782 42192 50376 56673 63288 67168 75564 84384 100752 113346 126576 151128 201504 226692 253152 302256 453384 604512 615007 906768 1230014 1813536 1845021 2460028 3690042 4920056 5535063 7380084 9840112 11070126 14760168 16605189 19680224 22140252 29520336 33210378 44280504 59040672 66420756 88561008 132841512 177122016 265683024 531366048