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35141157 = 3237105529
BaseRepresentation
bin1000011000001…
…1011000100101
32110010100121100
42012003120211
532444004112
63253110313
7604460232
oct206033045
973110540
1035141157
1118922087
12b928399
1373850ac
14494a789
1531422dc
hex2183625

35141157 has 12 divisors (see below), whose sum is σ = 52131820. Its totient is φ = 22794048.

The previous prime is 35141149. The next prime is 35141177. The reversal of 35141157 is 75114153.

It can be written as a sum of positive squares in 2 ways, for example, as 15374241 + 19766916 = 3921^2 + 4446^2 .

It is not a de Polignac number, because 35141157 - 23 = 35141149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35141157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35141107) 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, 52432 + ... + 53097.

Almost surely, 235141157 is an apocalyptic number.

35141157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

35141157 is a deficient number, since it is larger than the sum of its proper divisors (16990663).

35141157 is a wasteful number, since it uses less digits than its factorization.

35141157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105572 (or 105569 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 35141157 is about 5927.9977226716. The cubic root of 35141157 is about 327.5457877438.

Adding to 35141157 its sum of digits (27), we get a square (35141184 = 59282).

The spelling of 35141157 in words is "thirty-five million, one hundred forty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 37 111 333 105529 316587 949761 3904573 11713719 35141157