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872114250 = 235372191249
BaseRepresentation
bin110011111110110…
…110100001001010
32020210000222211210
4303332312201022
53241230124000
6222312233550
730416564100
oct6376664112
92223028753
10872114250
11408316387
1220409b8b6
1310b8b1b47
1483b7bc70
155186e350
hex33fb684a

872114250 has 192 divisors, whose sum is σ = 2667600000. Its totient is φ = 188697600.

The previous prime is 872114219. The next prime is 872114267. The reversal of 872114250 is 52411278.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 697626 + ... + 698874.

It is an arithmetic number, because the mean of its divisors is an integer number (13893750).

Almost surely, 2872114250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872114250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333800000).

872114250 is an abundant number, since it is smaller than the sum of its proper divisors (1795485750).

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

872114250 is a wasteful number, since it uses less digits than its factorization.

872114250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 872114250 is about 29531.5805537056. The cubic root of 872114250 is about 955.4129588359.

The spelling of 872114250 in words is "eight hundred seventy-two million, one hundred fourteen thousand, two hundred fifty".