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42834645 = 32571719421
BaseRepresentation
bin1010001101100…
…1101011010101
32222121020002100
42203121223111
541431202040
64130032313
71030042230
oct243315325
988536070
1042834645
11221a7337
1212418699
138b49b59
145990417
153b61b30
hex28d9ad5

42834645 has 96 divisors (see below), whose sum is σ = 94798080. Its totient is φ = 17418240.

The previous prime is 42834643. The next prime is 42834647. The reversal of 42834645 is 54643824.

42834645 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 4 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (42834643) and next prime (42834647).

It is not a de Polignac number, because 42834645 - 21 = 42834643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42834643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101535 + ... + 101955.

It is an arithmetic number, because the mean of its divisors is an integer number (987480).

Almost surely, 242834645 is an apocalyptic number.

42834645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42834645 is an abundant number, since it is smaller than the sum of its proper divisors (51963435).

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

42834645 is a wasteful number, since it uses less digits than its factorization.

42834645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42834645 is about 6544.8181792927. The cubic root of 42834645 is about 349.8901560064.

The spelling of 42834645 in words is "forty-two million, eight hundred thirty-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 153 171 255 285 315 323 357 399 421 595 665 765 855 969 1071 1197 1263 1615 1785 1995 2105 2261 2907 2947 3789 4845 5355 5985 6315 6783 7157 7999 8841 11305 14535 14735 18945 20349 21471 23997 26523 33915 35785 39995 44205 50099 55993 64413 71991 101745 107355 119985 132615 135983 150297 167979 250495 279965 322065 359955 407949 450891 503937 679915 751485 839895 951881 1223847 2039745 2254455 2519685 2855643 4759405 6119235 8566929 14278215 42834645