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531669096 = 233471931199
BaseRepresentation
bin11111101100001…
…010000001101000
31101001102120220000
4133230022001220
52042101402341
6124431303000
716114053450
oct3754120150
91331376800
10531669096
11253127952
1212a07aa60
13861c29ca
145087ad60
1531a218b6
hex1fb0a068

531669096 has 320 divisors, whose sum is σ = 1858560000. Its totient is φ = 138568320.

The previous prime is 531669041. The next prime is 531669113. The reversal of 531669096 is 690966135.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2671605 + ... + 2671803.

It is an arithmetic number, because the mean of its divisors is an integer number (5808000).

Almost surely, 2531669096 is an apocalyptic number.

531669096 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 531669096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929280000).

531669096 is an abundant number, since it is smaller than the sum of its proper divisors (1326890904).

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

531669096 is a wasteful number, since it uses less digits than its factorization.

531669096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 531669096 is about 23057.9508196197. The cubic root of 531669096 is about 810.1158681983.

The spelling of 531669096 in words is "five hundred thirty-one million, six hundred sixty-nine thousand, ninety-six".