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850945920 = 27351143937
BaseRepresentation
bin110010101110000…
…110011110000000
32012022012112100120
4302232012132000
53220320232140
6220234420240
730041630616
oct6256063600
92168175316
10850945920
113a73782a0
121b8b91680
131073ac9c6
148102b6b6
154ea8c1d0
hex32b86780

850945920 has 256 divisors, whose sum is σ = 3031015680. Its totient is φ = 201277440.

The previous prime is 850945919. The next prime is 850945981. The reversal of 850945920 is 29549058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907692 + ... + 908628.

It is an arithmetic number, because the mean of its divisors is an integer number (11839905).

Almost surely, 2850945920 is an apocalyptic number.

850945920 is a gapful number since it is divisible by the number (80) 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 850945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515507840).

850945920 is an abundant number, since it is smaller than the sum of its proper divisors (2180069760).

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

850945920 is a wasteful number, since it uses less digits than its factorization.

850945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 850945920 is about 29170.9773576409. The cubic root of 850945920 is about 947.6194951432.

The spelling of 850945920 in words is "eight hundred fifty million, nine hundred forty-five thousand, nine hundred twenty".