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35142975 = 3252753421
BaseRepresentation
bin1000011000001…
…1110100111111
32110010110002200
42012003310333
532444033400
63253122543
7604465440
oct206036477
973113080
1035142975
111892348a
12b929453
137385b7a
14494b2c7
153142b00
hex2183d3f

35142975 has 72 divisors (see below), whose sum is σ = 73468512. Its totient is φ = 15724800.

The previous prime is 35142971. The next prime is 35143019. The reversal of 35142975 is 57924153.

It is not a de Polignac number, because 35142975 - 22 = 35142971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83265 + ... + 83685.

It is an arithmetic number, because the mean of its divisors is an integer number (1020396).

Almost surely, 235142975 is an apocalyptic number.

35142975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35142975 is an abundant number, since it is smaller than the sum of its proper divisors (38325537).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35142975 is a wasteful number, since it uses less digits than its factorization.

35142975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 35142975 is about 5928.1510608283. The cubic root of 35142975 is about 327.5514360872.

The spelling of 35142975 in words is "thirty-five million, one hundred forty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 315 371 421 477 525 795 1113 1263 1325 1575 1855 2105 2385 2947 3339 3789 3975 5565 6315 8841 9275 10525 11925 14735 16695 18945 22313 26523 27825 31575 44205 66939 73675 83475 94725 111565 132615 156191 200817 221025 334695 468573 557825 663075 780955 1004085 1405719 1673475 2342865 3904775 5020425 7028595 11714325 35142975