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853701264 = 243213456037
BaseRepresentation
bin110010111000100…
…111001010010000
32012111101111222100
4302320213022100
53222021420024
6220413440400
730104224653
oct6270471220
92174344870
10853701264
113a898a439
121b9aa0100
13107b35ba0
148154789a
154ee337c9
hex32e27290

853701264 has 60 divisors (see below), whose sum is σ = 2572966396. Its totient is φ = 262676736.

The previous prime is 853701241. The next prime is 853701269. The reversal of 853701264 is 462107358.

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 818417664 = 5940^2 + 28608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (853701269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 226147 + ... + 229890.

Almost surely, 2853701264 is an apocalyptic number.

It is an amenable number.

853701264 is an abundant number, since it is smaller than the sum of its proper divisors (1719265132).

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

853701264 is a wasteful number, since it uses less digits than its factorization.

853701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456064 (or 456055 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 853701264 is about 29218.1666775997. The cubic root of 853701264 is about 948.6411834975.

The spelling of 853701264 in words is "eight hundred fifty-three million, seven hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 456037 912074 1368111 1824148 2736222 3648296 4104333 5472444 5928481 7296592 8208666 10944888 11856962 16417332 17785443 21889776 23713924 32834664 35570886 47427848 53356329 65669328 71141772 94855696 106712658 142283544 213425316 284567088 426850632 853701264