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800406053 = 17536713259
BaseRepresentation
bin101111101101010…
…011101000100101
32001210002211200122
4233231103220211
53114400443203
6211231251325
725556224226
oct5755235045
92053084618
10800406053
11380898a07
121a4079b45
13c9a95965
147843324d
154a407538
hex2fb53a25

800406053 has 16 divisors (see below), whose sum is σ = 876432960. Its totient is φ = 728023296.

The previous prime is 800406043. The next prime is 800406107. The reversal of 800406053 is 350604008.

It is a cyclic number.

It is not a de Polignac number, because 800406053 - 216 = 800340517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800406043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53738 + ... + 66996.

It is an arithmetic number, because the mean of its divisors is an integer number (54777060).

Almost surely, 2800406053 is an apocalyptic number.

It is an amenable number.

800406053 is a deficient number, since it is larger than the sum of its proper divisors (76026907).

800406053 is a wasteful number, since it uses less digits than its factorization.

800406053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 800406053 is about 28291.4484076019. The cubic root of 800406053 is about 928.4748010797.

The spelling of 800406053 in words is "eight hundred million, four hundred six thousand, fifty-three".

Divisors: 1 17 53 67 901 1139 3551 13259 60367 225403 702727 888353 11946359 15102001 47082709 800406053