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5802350112 = 25361319253
BaseRepresentation
bin1010110011101100…
…01101011000100000
3112222101010221000000
411121312031120200
543340400200422
62355432300000
7263534106426
oct53166153040
915871127000
105802350112
112508303579
12115b241600
13716155380
143d087d116
1523e5e4cac
hex159d8d620

5802350112 has 504 divisors, whose sum is σ = 19833870924. Its totient is φ = 1659460608.

The previous prime is 5802350107. The next prime is 5802350159. The reversal of 5802350112 is 2110532085.

It is a happy number.

5802350112 is a `hidden beast` number, since 580 + 23 + 50 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5764453776 + 37896336 = 75924^2 + 6156^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 109478278 + ... + 109478330.

Almost surely, 25802350112 is an apocalyptic number.

5802350112 is a gapful number since it is divisible by the number (52) 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 5802350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916935462).

5802350112 is an abundant number, since it is smaller than the sum of its proper divisors (14031520812).

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

5802350112 is a wasteful number, since it uses less digits than its factorization.

5802350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5802350112 is about 76173.1587371825. The cubic root of 5802350112 is about 1796.9444159384.

Adding to 5802350112 its reverse (2110532085), we get a palindrome (7912882197).

The spelling of 5802350112 in words is "five billion, eight hundred two million, three hundred fifty thousand, one hundred twelve".