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42104205 = 3451113727
BaseRepresentation
bin1010000010011…
…1010110001101
32221020010010000
42200213112031
541234313310
64102234513
71020610533
oct240472615
987203100
1042104205
1121848570
1212125a39
138952540
145840153
153a6a4c0
hex282758d

42104205 has 80 divisors (see below), whose sum is σ = 88792704. Its totient is φ = 18817920.

The previous prime is 42104203. The next prime is 42104239. The reversal of 42104205 is 50240124.

It is not a de Polignac number, because 42104205 - 21 = 42104203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57552 + ... + 58278.

Almost surely, 242104205 is an apocalyptic number.

42104205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42104205 is an abundant number, since it is smaller than the sum of its proper divisors (46688499).

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

42104205 is a wasteful number, since it uses less digits than its factorization.

42104205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42104205 is about 6488.7753081764. The cubic root of 42104205 is about 347.8899027464.

Adding to 42104205 its reverse (50240124), we get a palindrome (92344329).

The spelling of 42104205 in words is "forty-two million, one hundred four thousand, two hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 297 351 405 429 495 585 715 727 891 1053 1287 1485 1755 2145 2181 3635 3861 4455 5265 6435 6543 7997 9451 10905 11583 19305 19629 23991 28353 32715 39985 47255 57915 58887 71973 85059 98145 103961 119955 141765 215919 255177 294435 311883 359865 425295 519805 647757 765531 935649 1079595 1275885 1559415 2806947 3238785 3827655 4678245 8420841 14034735 42104205