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42137901 = 351313339
BaseRepresentation
bin1010000010111…
…1100100101101
32221021211100000
42200233210231
541241403101
64103054513
71021111011
oct240574455
987254300
1042137901
1121870913
1212141439
138964990
14584c541
153a75486
hex282f92d

42137901 has 24 divisors (see below), whose sum is σ = 67980640. Its totient is φ = 25929072.

The previous prime is 42137891. The next prime is 42137903. The reversal of 42137901 is 10973124.

42137901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42137901 - 25 = 42137869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42137903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3511 + ... + 9828.

Almost surely, 242137901 is an apocalyptic number.

It is an amenable number.

42137901 is a deficient number, since it is larger than the sum of its proper divisors (25842739).

42137901 is a wasteful number, since it uses less digits than its factorization.

42137901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 42137901 is about 6491.3712726973. The cubic root of 42137901 is about 347.9826834427.

The spelling of 42137901 in words is "forty-two million, one hundred thirty-seven thousand, nine hundred one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 13339 40017 120051 173407 360153 520221 1080459 1560663 3241377 4681989 14045967 42137901