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42475758 = 231317103311
BaseRepresentation
bin1010001000001…
…0000011101110
32221220222210020
42202002003232
541333211013
64114223010
71024016013
oct242020356
987828706
1042475758
1121a81736
1212284a66
138a526b0
1458d970a
153ae0623
hex28820ee

42475758 has 64 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 12142080.

The previous prime is 42475751. The next prime is 42475793. The reversal of 42475758 is 85757424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42475751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136423 + ... + 136733.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 242475758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42475758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

42475758 is an abundant number, since it is smaller than the sum of its proper divisors (55646994).

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

42475758 is a wasteful number, since it uses less digits than its factorization.

42475758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its digits is 313600, while the sum is 42.

The square root of 42475758 is about 6517.3428634682. The cubic root of 42475758 is about 348.9102376410.

It can be divided in two parts, 42 and 475758, that added together give a triangular number (475800 = T975).

The spelling of 42475758 in words is "forty-two million, four hundred seventy-five thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 103 206 221 309 311 442 618 622 663 933 1326 1339 1751 1866 2678 3502 4017 4043 5253 5287 8034 8086 10506 10574 12129 15861 22763 24258 31722 32033 45526 64066 68289 68731 96099 136578 137462 192198 206193 412386 416429 544561 832858 1089122 1249287 1633683 2498574 3267366 7079293 14158586 21237879 42475758