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2031984528 = 2437229313
BaseRepresentation
bin111100100011101…
…1001111110010000
312020121112111202020
41321013121332100
513130142001103
6533344251440
7101232404100
oct17107317620
95217474666
102031984528
11953003062
12488610b80
13264c95712
14153c23200
15bd5ce753
hex791d9f90

2031984528 has 240 divisors, whose sum is σ = 6527439360. Its totient is φ = 542465280.

The previous prime is 2031984527. The next prime is 2031984533. The reversal of 2031984528 is 8254891302.

It is a super-2 number, since 2×20319845282 = 8257922244062765568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2031984528.

It is not an unprimeable number, because it can be changed into a prime (2031984523) 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 47 ways as a sum of consecutive naturals, for example, 65547873 + ... + 65547903.

It is an arithmetic number, because the mean of its divisors is an integer number (27197664).

Almost surely, 22031984528 is an apocalyptic number.

2031984528 is a gapful number since it is divisible by the number (28) 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 2031984528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263719680).

2031984528 is an abundant number, since it is smaller than the sum of its proper divisors (4495454832).

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

2031984528 is an equidigital number, since it uses as much as digits as its factorization.

2031984528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2031984528 is about 45077.5390632630. The cubic root of 2031984528 is about 1266.6018915475.

The spelling of 2031984528 in words is "two billion, thirty-one million, nine hundred eighty-four thousand, five hundred twenty-eight".