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850468896 = 253636457
BaseRepresentation
bin110010101100010…
…010000000100000
32012021022022000000
4302230102000200
53220210001041
6220220300000
730034603104
oct6254220040
92167268000
10850468896
113a7081962
121b89a1600
13107273844
1480d45904
154e9e5bb6
hex32b12020

850468896 has 84 divisors (see below), whose sum is σ = 2510461422. Its totient is φ = 283481856.

The previous prime is 850468867. The next prime is 850468919. The reversal of 850468896 is 698864058.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 644144400 + 206324496 = 25380^2 + 14364^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5100 + ... + 41556.

Almost surely, 2850468896 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 850468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255230711).

850468896 is an abundant number, since it is smaller than the sum of its proper divisors (1659992526).

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

850468896 is an equidigital number, since it uses as much as digits as its factorization.

850468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36485 (or 36462 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 850468896 is about 29162.7998655822. The cubic root of 850468896 is about 947.4423895930.

The spelling of 850468896 in words is "eight hundred fifty million, four hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 36457 72914 109371 145828 218742 291656 328113 437484 583312 656226 874968 984339 1166624 1312452 1749936 1968678 2624904 2953017 3499872 3937356 5249808 5906034 7874712 8859051 10499616 11812068 15749424 17718102 23624136 26577153 31498848 35436204 47248272 53154306 70872408 94496544 106308612 141744816 212617224 283489632 425234448 850468896