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852005401 = 133716310867
BaseRepresentation
bin110010110010001…
…001001000011001
32012101012100200121
4302302021020121
53221103133101
6220313233241
730053632522
oct6262111031
92171170617
10852005401
113a7a312a5
121b9402821
13107691010
1481225849
154ebeb0a1
hex32c89219

852005401 has 16 divisors (see below), whose sum is σ = 948211264. Its totient is φ = 760446144.

The previous prime is 852005381. The next prime is 852005437. The reversal of 852005401 is 104500258.

It is a cyclic number.

It is not a de Polignac number, because 852005401 - 215 = 851972633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (852705401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72970 + ... + 83836.

It is an arithmetic number, because the mean of its divisors is an integer number (59263204).

Almost surely, 2852005401 is an apocalyptic number.

It is an amenable number.

852005401 is a deficient number, since it is larger than the sum of its proper divisors (96205863).

852005401 is a wasteful number, since it uses less digits than its factorization.

852005401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 852005401 is about 29189.1315561118. The cubic root of 852005401 is about 948.0126139224.

Adding to 852005401 its reverse (104500258), we get a palindrome (956505659).

It can be divided in two parts, 85200 and 5401, that added together give a square (90601 = 3012).

The spelling of 852005401 in words is "eight hundred fifty-two million, five thousand, four hundred one".

Divisors: 1 13 37 163 481 2119 6031 10867 78403 141271 402079 1771321 5227027 23027173 65538877 852005401