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53006005 = 5132149421
BaseRepresentation
bin1100101000110…
…0111010110101
310200201222120101
43022030322311
5102032143010
65132034101
71212354313
oct312147265
9120658511
1053006005
1127a14218
1215902931
13ac9b700
14707b0b3
1549c073a
hex328ceb5

53006005 has 24 divisors (see below), whose sum is σ = 69503400. Its totient is φ = 38787840.

The previous prime is 53006003. The next prime is 53006021. The reversal of 53006005 is 50060035.

It can be written as a sum of positive squares in 12 ways, for example, as 51969681 + 1036324 = 7209^2 + 1018^2 .

It is not a de Polignac number, because 53006005 - 21 = 53006003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53006003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125695 + ... + 126115.

It is an arithmetic number, because the mean of its divisors is an integer number (2895975).

Almost surely, 253006005 is an apocalyptic number.

It is an amenable number.

53006005 is a deficient number, since it is larger than the sum of its proper divisors (16497395).

53006005 is a wasteful number, since it uses less digits than its factorization.

53006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 53006005 is about 7280.5223026923. The cubic root of 53006005 is about 375.6427613618.

The spelling of 53006005 in words is "fifty-three million, six thousand, five".

Divisors: 1 5 13 65 149 169 421 745 845 1937 2105 5473 9685 25181 27365 62729 71149 125905 313645 355745 815477 4077385 10601201 53006005