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42901137 = 331588931
BaseRepresentation
bin1010001110100…
…1111010010001
32222201121022000
42203221322101
541440314022
64131304213
71030440126
oct243517221
988647260
1042901137
1122242294
121244b069
138b711b6
1459aa74d
153b766ac
hex28e9e91

42901137 has 8 divisors (see below), whose sum is σ = 63557280. Its totient is φ = 28600740.

The previous prime is 42901127. The next prime is 42901181. The reversal of 42901137 is 73110924.

42901137 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 42901137 - 26 = 42901073 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: 1588931 = 42901137 / (4 + 2 + 9 + 0 + 1 + 1 + 3 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 42901137.

It is not an unprimeable number, because it can be changed into a prime (42901127) 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 7 ways as a sum of consecutive naturals, for example, 794439 + ... + 794492.

It is an arithmetic number, because the mean of its divisors is an integer number (7944660).

Almost surely, 242901137 is an apocalyptic number.

It is an amenable number.

42901137 is a deficient number, since it is larger than the sum of its proper divisors (20656143).

42901137 is a wasteful number, since it uses less digits than its factorization.

42901137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588940 (or 1588934 counting only the distinct ones).

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

The square root of 42901137 is about 6549.8959533721. The cubic root of 42901137 is about 350.0711066413.

The spelling of 42901137 in words is "forty-two million, nine hundred one thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 1588931 4766793 14300379 42901137