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75830157 = 32132922349
BaseRepresentation
bin1001000010100…
…01001110001101
312021200120102100
410201101032031
5123403031112
611305145313
71610355114
oct441211615
9167616370
1075830157
1139893357
122148b239
1312930420
14a0dcc7b
1569cd2dc
hex485138d

75830157 has 24 divisors (see below), whose sum is σ = 122031000. Its totient is φ = 45053568.

The previous prime is 75830143. The next prime is 75830171. The reversal of 75830157 is 75103857.

It is an interprime number because it is at equal distance from previous prime (75830143) and next prime (75830171).

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 75794436 = 189^2 + 8706^2 .

It is not a de Polignac number, because 75830157 - 216 = 75764621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75830107) 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 23 ways as a sum of consecutive naturals, for example, 7782 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (5084625).

Almost surely, 275830157 is an apocalyptic number.

It is an amenable number.

75830157 is a deficient number, since it is larger than the sum of its proper divisors (46200843).

75830157 is a wasteful number, since it uses less digits than its factorization.

75830157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22397 (or 22394 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 75830157 is about 8708.0512745390. The cubic root of 75830157 is about 423.2665858074.

The spelling of 75830157 in words is "seventy-five million, eight hundred thirty thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 22349 67047 201141 290537 648121 871611 1944363 2614833 5833089 8425573 25276719 75830157