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850217472 = 2934131983
BaseRepresentation
bin110010101011010…
…100101000000000
32012020211112010000
4302223110220000
53220123424342
6220211040000
730032505066
oct6253245000
92166745100
10850217472
113a6a1aa75
121b88a0000
131071b6280
1480cbc036
154e99644c
hex32ad4a00

850217472 has 400 divisors, whose sum is σ = 2911376160. Its totient is φ = 244850688.

The previous prime is 850217449. The next prime is 850217497. The reversal of 850217472 is 274712058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10243543 + ... + 10243625.

Almost surely, 2850217472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455688080).

850217472 is an abundant number, since it is smaller than the sum of its proper divisors (2061158688).

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

850217472 is a wasteful number, since it uses less digits than its factorization.

850217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 850217472 is about 29158.4888497329. The cubic root of 850217472 is about 947.3490163043.

The spelling of 850217472 in words is "eight hundred fifty million, two hundred seventeen thousand, four hundred seventy-two".