Search a number
-
+
42707385 = 3357431051
BaseRepresentation
bin1010001011101…
…0100110111001
32222100202112000
42202322212321
541413114020
64123211213
71026002220
oct242724671
988322460
1042707385
112211a766
1212376b09
138b03c56
145959cb7
153b39090
hex28ba9b9

42707385 has 64 divisors (see below), whose sum is σ = 88872960. Its totient is φ = 19051200.

The previous prime is 42707377. The next prime is 42707437. The reversal of 42707385 is 58370724.

42707385 is a `hidden beast` number, since 4 + 270 + 7 + 385 = 666.

It is not a de Polignac number, because 42707385 - 23 = 42707377 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40110 + ... + 41160.

It is an arithmetic number, because the mean of its divisors is an integer number (1388640).

Almost surely, 242707385 is an apocalyptic number.

42707385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42707385 is an abundant number, since it is smaller than the sum of its proper divisors (46165575).

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

42707385 is a wasteful number, since it uses less digits than its factorization.

42707385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42707385 is about 6535.0887522665. The cubic root of 42707385 is about 349.5433091166.

The spelling of 42707385 in words is "forty-two million, seven hundred seven thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1051 1161 1505 1935 2709 3153 4515 5255 5805 7357 8127 9459 13545 15765 22071 28377 36785 40635 45193 47295 66213 110355 135579 141885 198639 225965 316351 331065 406737 677895 949053 993195 1220211 1581755 2033685 2847159 4745265 6101055 8541477 14235795 42707385