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850089152 = 26118571409
BaseRepresentation
bin110010101010110…
…101010011000000
32012020121000002102
4302222311103000
53220110323102
6220204205532
730031432013
oct6252652300
92166530072
10850089152
113a6942620
121b88398a8
1310716ca43
1480c8737a
154e96d402
hex32ab54c0

850089152 has 56 divisors (see below), whose sum is σ = 1843704720. Its totient is φ = 385679360.

The previous prime is 850089139. The next prime is 850089167. The reversal of 850089152 is 251980058.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 602624 + ... + 604032.

Almost surely, 2850089152 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 850089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921852360).

850089152 is an abundant number, since it is smaller than the sum of its proper divisors (993615568).

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

850089152 is a wasteful number, since it uses less digits than its factorization.

850089152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 850089152 is about 29156.2883783242. The cubic root of 850089152 is about 947.3013540116.

The spelling of 850089152 in words is "eight hundred fifty million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 857 1409 1714 2818 3428 5636 6856 9427 11272 13712 15499 18854 22544 27424 30998 37708 45088 54848 61996 75416 90176 123992 150832 247984 301664 495968 603328 991936 1207513 2415026 4830052 9660104 13282643 19320208 26565286 38640416 53130572 77280832 106261144 212522288 425044576 850089152