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531031950 = 234521967103
BaseRepresentation
bin11111101001101…
…110011110001110
31101000020012220000
4133221232132032
52041421010300
6124405505130
716105461051
oct3751563616
91330205800
10531031950
11252832189
12129a121a6
138602b9b7
1450752a98
1531947c00
hex1fa6e78e

531031950 has 240 divisors, whose sum is σ = 1591624320. Its totient is φ = 130870080.

The previous prime is 531031937. The next prime is 531031951. The reversal of 531031950 is 59130135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531031951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5155599 + ... + 5155701.

It is an arithmetic number, because the mean of its divisors is an integer number (6631768).

Almost surely, 2531031950 is an apocalyptic number.

531031950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 531031950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795812160).

531031950 is an abundant number, since it is smaller than the sum of its proper divisors (1060592370).

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

531031950 is a wasteful number, since it uses less digits than its factorization.

531031950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 531031950 is about 23044.1304891289. The cubic root of 531031950 is about 809.7921277278.

The spelling of 531031950 in words is "five hundred thirty-one million, thirty-one thousand, nine hundred fifty".