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75129053 = 292157569
BaseRepresentation
bin1000111101001…
…10000011011101
312020100221200112
410132212003131
5123213112203
611242135405
71601405066
oct436460335
9166327615
1075129053
113945462a
12211b1565
131274627c
149d9956d
1568e06d8
hex47a60dd

75129053 has 12 divisors (see below), whose sum is σ = 78442260. Its totient is φ = 71949696.

The previous prime is 75129049. The next prime is 75129073. The reversal of 75129053 is 35092157.

It can be written as a sum of positive squares in 6 ways, for example, as 5189284 + 69939769 = 2278^2 + 8363^2 .

It is not a de Polignac number, because 75129053 - 22 = 75129049 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75129023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131753 + ... + 132321.

It is an arithmetic number, because the mean of its divisors is an integer number (6536855).

Almost surely, 275129053 is an apocalyptic number.

It is an amenable number.

75129053 is a deficient number, since it is larger than the sum of its proper divisors (3313207).

75129053 is a wasteful number, since it uses less digits than its factorization.

75129053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 75129053 is about 8667.7017138340. The cubic root of 75129053 is about 421.9580774149.

The spelling of 75129053 in words is "seventy-five million, one hundred twenty-nine thousand, fifty-three".

Divisors: 1 29 157 569 841 4553 16501 89333 132037 478529 2590657 75129053