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59905053 = 3213512009
BaseRepresentation
bin1110010010000…
…1010000011101
311011201111021200
43210201100131
5110313430203
65535550113
71325120205
oct344412035
9134644250
1059905053
11308a660a
121808b339
13c5459a0
147d55405
1553d49a3
hex392141d

59905053 has 12 divisors (see below), whose sum is σ = 93185820. Its totient is φ = 36864576.

The previous prime is 59905009. The next prime is 59905057. The reversal of 59905053 is 35050995.

It can be written as a sum of positive squares in 2 ways, for example, as 39275289 + 20629764 = 6267^2 + 4542^2 .

It is not a de Polignac number, because 59905053 - 222 = 55710749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 59904999 and 59905017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59905057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 255888 + ... + 256121.

It is an arithmetic number, because the mean of its divisors is an integer number (7765485).

Almost surely, 259905053 is an apocalyptic number.

It is an amenable number.

59905053 is a deficient number, since it is larger than the sum of its proper divisors (33280767).

59905053 is a wasteful number, since it uses less digits than its factorization.

59905053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512028 (or 512025 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 59905053 is about 7739.8354633674. The cubic root of 59905053 is about 391.2801523510.

The spelling of 59905053 in words is "fifty-nine million, nine hundred five thousand, fifty-three".

Divisors: 1 3 9 13 39 117 512009 1536027 4608081 6656117 19968351 59905053