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850431264 = 25329305471
BaseRepresentation
bin110010101100001…
…000110100100000
32012021020101101020
4302230020310200
53220202300024
6220215405440
730034355304
oct6254106440
92167211336
10850431264
113a7056661
121b8983880
1310725c687
1480d35d04
154e9d9979
hex32b08d20

850431264 has 48 divisors (see below), whose sum is σ = 2309368320. Its totient is φ = 273701120.

The previous prime is 850431259. The next prime is 850431299. The reversal of 850431264 is 462134058.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 149952 + ... + 155519.

It is an arithmetic number, because the mean of its divisors is an integer number (48111840).

Almost surely, 2850431264 is an apocalyptic number.

It is an amenable number.

850431264 is an abundant number, since it is smaller than the sum of its proper divisors (1458937056).

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

850431264 is a wasteful number, since it uses less digits than its factorization.

850431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305513 (or 305505 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 850431264 is about 29162.1546529059. The cubic root of 850431264 is about 947.4284150753.

The spelling of 850431264 in words is "eight hundred fifty million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 305471 610942 916413 1221884 1832826 2443768 3665652 4887536 7331304 8858659 9775072 14662608 17717318 26575977 29325216 35434636 53151954 70869272 106303908 141738544 212607816 283477088 425215632 850431264