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42057678 = 23132193759
BaseRepresentation
bin1010000001101…
…1111111001110
32221010202021210
42200123333032
541231321203
64101235250
71020325065
oct240337716
987122253
1042057678
1121816613
1212102b26
138937300
14582b1dc
153a5b803
hex281bfce

42057678 has 96 divisors (see below), whose sum is σ = 100137600. Its totient is φ = 11726208.

The previous prime is 42057671. The next prime is 42057679. The reversal of 42057678 is 87675024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712813 + ... + 712871.

It is an arithmetic number, because the mean of its divisors is an integer number (1043100).

Almost surely, 242057678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068800).

42057678 is an abundant number, since it is smaller than the sum of its proper divisors (58079922).

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

42057678 is a wasteful number, since it uses less digits than its factorization.

42057678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 42057678 is about 6485.1891260009. The cubic root of 42057678 is about 347.7617109632.

The spelling of 42057678 in words is "forty-two million, fifty-seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 59 74 78 111 114 118 169 177 222 247 338 354 481 494 507 703 741 767 962 1014 1121 1406 1443 1482 1534 2109 2183 2242 2301 2886 3211 3363 4218 4366 4602 6253 6422 6549 6726 9139 9633 9971 12506 13098 14573 18278 18759 19266 19942 27417 28379 29146 29913 37518 41477 43719 54834 56758 59826 82954 85137 87438 118807 124431 170274 189449 237614 248862 356421 368927 378898 539201 568347 712842 737854 1078402 1106781 1136694 1617603 2213562 3235206 7009613 14019226 21028839 42057678