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33142257 = 331227491
BaseRepresentation
bin111111001101…
…1010111110001
32022100210122000
41332123113301
531441023012
63142204213
7551463441
oct176332761
968323560
1033142257
11177872a5
12b123669
136b35305
14458a121
152d99ddc
hex1f9b5f1

33142257 has 8 divisors (see below), whose sum is σ = 49099680. Its totient is φ = 22094820.

The previous prime is 33142211. The next prime is 33142267. The reversal of 33142257 is 75224133.

It is not a de Polignac number, because 33142257 - 219 = 32617969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1227491 = 33142257 / (3 + 3 + 1 + 4 + 2 + 2 + 5 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 33142257.

It is not an unprimeable number, because it can be changed into a prime (33142267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613719 + ... + 613772.

It is an arithmetic number, because the mean of its divisors is an integer number (6137460).

Almost surely, 233142257 is an apocalyptic number.

It is an amenable number.

33142257 is a deficient number, since it is larger than the sum of its proper divisors (15957423).

33142257 is a wasteful number, since it uses less digits than its factorization.

33142257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227500 (or 1227494 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 33142257 is about 5756.9312137631. The cubic root of 33142257 is about 321.2136755347.

The spelling of 33142257 in words is "thirty-three million, one hundred forty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 1227491 3682473 11047419 33142257