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42795945 = 36559199
BaseRepresentation
bin1010001101000…
…0001110101001
32222112021000000
42203100032221
541423432240
64125133213
71026521343
oct243201651
988467000
1042795945
1122180255
12123ba209
138b3535a
145980293
153b55430
hex28d03a9

42795945 has 56 divisors (see below), whose sum is σ = 78696000. Its totient is φ = 22324896.

The previous prime is 42795943. The next prime is 42795947. The reversal of 42795945 is 54959724.

It is an interprime number because it is at equal distance from previous prime (42795943) and next prime (42795947).

It is not a de Polignac number, because 42795945 - 21 = 42795943 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 42795945.

It is not an unprimeable number, because it can be changed into a prime (42795941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 214956 + ... + 215154.

Almost surely, 242795945 is an apocalyptic number.

42795945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42795945 is a deficient number, since it is larger than the sum of its proper divisors (35900055).

42795945 is an equidigital number, since it uses as much as digits as its factorization.

42795945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 42795945 is about 6541.8609737597. The cubic root of 42795945 is about 349.7847520046.

The spelling of 42795945 in words is "forty-two million, seven hundred ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 59 81 135 177 199 243 295 405 531 597 729 885 995 1215 1593 1791 2655 2985 3645 4779 5373 7965 8955 11741 14337 16119 23895 26865 35223 43011 48357 58705 71685 80595 105669 145071 176115 215055 241785 317007 528345 725355 951021 1585035 2853063 4755105 8559189 14265315 42795945