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850801952 = 257111326561
BaseRepresentation
bin110010101101100…
…011010100100000
32012021221012212102
4302231203110200
53220301130302
6220231345532
730040461110
oct6255432440
92167835772
10850801952
113a728a110
121b8b222a8
1310735c310
1480dd1040
154ea5e702
hex32b63520

850801952 has 96 divisors (see below), whose sum is σ = 2249057664. Its totient is φ = 305971200.

The previous prime is 850801949. The next prime is 850801961. The reversal of 850801952 is 259108058.

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 15 ways as a sum of consecutive naturals, for example, 18752 + ... + 45312.

It is an arithmetic number, because the mean of its divisors is an integer number (23427684).

Almost surely, 2850801952 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 850801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124528832).

850801952 is an abundant number, since it is smaller than the sum of its proper divisors (1398255712).

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

850801952 is a wasteful number, since it uses less digits than its factorization.

850801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26602 (or 26594 counting only the distinct ones).

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

The square root of 850801952 is about 29168.5095951096. The cubic root of 850801952 is about 947.5660508624.

The spelling of 850801952 in words is "eight hundred fifty million, eight hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 26561 32032 53122 106244 185927 212488 292171 345293 371854 424976 584342 690586 743708 849952 1168684 1381172 1487416 2045197 2337368 2417051 2762344 2974832 3798223 4090394 4674736 4834102 5524688 5949664 7596446 8180788 9349472 9668204 11049376 15192892 16361576 19336408 26587561 30385784 32723152 38672816 53175122 60771568 65446304 77345632 106350244 121543136 212700488 425400976 850801952