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42765740 = 22523312999
BaseRepresentation
bin1010001100100…
…0110110101100
32222110201120022
42203020312230
541422000430
64124341312
71026334313
oct243106654
988421508
1042765740
112215a596
12123a4838
138b24694
14597327a
153b4b4e5
hex28c8dac

42765740 has 48 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 15829440.

The previous prime is 42765739. The next prime is 42765743. The reversal of 42765740 is 4756724.

It is a self number, because there is not a number n which added to its sum of digits gives 42765740.

It is not an unprimeable number, because it can be changed into a prime (42765743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12761 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 242765740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

42765740 is an abundant number, since it is smaller than the sum of its proper divisors (54002260).

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

42765740 is a wasteful number, since it uses less digits than its factorization.

42765740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 42765740 is about 6539.5519724214. The cubic root of 42765740 is about 349.7024409739.

The spelling of 42765740 in words is "forty-two million, seven hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 2999 3565 5998 7130 11996 14260 14995 29990 59980 68977 92969 137954 185938 275908 344885 371876 464845 689770 929690 1379540 1859380 2138287 4276574 8553148 10691435 21382870 42765740