Search a number
-
+
42057631 = 731171157
BaseRepresentation
bin1010000001101…
…1111110011111
32221010202020001
42200123332133
541231321011
64101235131
71020325000
oct240337637
987122201
1042057631
1121816580
1212102aa7
138937295
14582b1a7
153a5b7c1
hex281bf9f

42057631 has 32 divisors (see below), whose sum is σ = 54604800. Its totient is φ = 32104800.

The previous prime is 42057629. The next prime is 42057671. The reversal of 42057631 is 13675024.

It is not a de Polignac number, because 42057631 - 21 = 42057629 is a prime.

It is a super-2 number, since 2×420576312 = 3537688650664322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42057631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267805 + ... + 267961.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 242057631 is an apocalyptic number.

42057631 is a deficient number, since it is larger than the sum of its proper divisors (12547169).

42057631 is a wasteful number, since it uses less digits than its factorization.

42057631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42057631 is about 6485.1855023584. The cubic root of 42057631 is about 347.7615814204.

The spelling of 42057631 in words is "forty-two million, fifty-seven thousand, six hundred thirty-one".

Divisors: 1 7 11 49 71 77 157 343 497 539 781 1099 1727 3479 3773 5467 7693 11147 12089 24353 38269 53851 78029 84623 122617 267883 546203 592361 858319 3823421 6008233 42057631