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42157395 = 335726373
BaseRepresentation
bin1010000011010…
…0010101010011
32221022211002000
42200310111103
541243014040
64103325043
71021221600
oct240642523
987284060
1042157395
1121884525
1212150783
138970807
1458556a7
153a7b130
hex2834553

42157395 has 48 divisors (see below), whose sum is σ = 87196320. Its totient is φ = 19268928.

The previous prime is 42157391. The next prime is 42157397. The reversal of 42157395 is 59375124.

It is not a de Polignac number, because 42157395 - 22 = 42157391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42157391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (1816590).

Almost surely, 242157395 is an apocalyptic number.

42157395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42157395 is an abundant number, since it is smaller than the sum of its proper divisors (45038925).

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

42157395 is a wasteful number, since it uses less digits than its factorization.

42157395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6388 counting only the distinct ones).

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

The square root of 42157395 is about 6492.8726308160. The cubic root of 42157395 is about 348.0363368716.

The spelling of 42157395 in words is "forty-two million, one hundred fifty-seven thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6373 6615 19119 31865 44611 57357 95595 133833 172071 223055 286785 312277 401499 669165 860355 936831 1204497 1561385 2007495 2810493 4684155 6022485 8431479 14052465 42157395