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42757104 = 2431368521
BaseRepresentation
bin1010001100011…
…0101111110000
32222110021201110
42203012233300
541421211404
64124233320
71026300165
oct243065760
988407643
1042757104
1122154055
121239b840
138b20780
14597006c
153b48b89
hex28c6bf0

42757104 has 40 divisors (see below), whose sum is σ = 118954192. Its totient is φ = 13155840.

The previous prime is 42757081. The next prime is 42757111. The reversal of 42757104 is 40175724.

42757104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 33637 + ... + 34884.

Almost surely, 242757104 is an apocalyptic number.

It is an amenable number.

42757104 is an abundant number, since it is smaller than the sum of its proper divisors (76197088).

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

42757104 is a wasteful number, since it uses less digits than its factorization.

42757104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68545 (or 68539 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 42757104 is about 6538.8916492017. The cubic root of 42757104 is about 349.6789000617.

The spelling of 42757104 in words is "forty-two million, seven hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 68521 137042 205563 274084 411126 548168 822252 890773 1096336 1644504 1781546 2672319 3289008 3563092 5344638 7126184 10689276 14252368 21378552 42757104