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42793695 = 3257731861
BaseRepresentation
bin1010001100111…
…1101011011111
32222112010220200
42203033223133
541423344240
64125114543
71026511650
oct243175337
988463820
1042793695
112217959a
12123b8a53
138b34319
14597d527
153b54930
hex28cfadf

42793695 has 48 divisors (see below), whose sum is σ = 85979712. Its totient is φ = 19284480.

The previous prime is 42793693. The next prime is 42793711. The reversal of 42793695 is 59639724.

It is a happy number.

It is not a de Polignac number, because 42793695 - 21 = 42793693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42793695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42793691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22065 + ... + 23925.

It is an arithmetic number, because the mean of its divisors is an integer number (1791244).

Almost surely, 242793695 is an apocalyptic number.

42793695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42793695 is an abundant number, since it is smaller than the sum of its proper divisors (43186017).

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

42793695 is a wasteful number, since it uses less digits than its factorization.

42793695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1949 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42793695 is about 6541.6890020850. The cubic root of 42793695 is about 349.7786219107.

The spelling of 42793695 in words is "forty-two million, seven hundred ninety-three thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1095 1533 1861 2555 3285 4599 5583 7665 9305 13027 16749 22995 27915 39081 65135 83745 117243 135853 195405 407559 586215 679265 950971 1222677 2037795 2852913 4754855 6113385 8558739 14264565 42793695