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42705558 = 232736917
BaseRepresentation
bin1010001011101…
…0001010010110
32222100200000100
42202322022112
541413034213
64123154530
71025664000
oct242721226
988320010
1042705558
1122119355
1212375a46
138b0317c
145959370
153b38773
hex28ba296

42705558 has 48 divisors (see below), whose sum is σ = 107920800. Its totient is φ = 12199824.

The previous prime is 42705541. The next prime is 42705571. The reversal of 42705558 is 85550724.

It is a happy number.

It is a super-3 number, since 3×427055583 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (2248350).

Almost surely, 242705558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42705558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53960400).

42705558 is an abundant number, since it is smaller than the sum of its proper divisors (65215242).

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

42705558 is a wasteful number, since it uses less digits than its factorization.

42705558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 42705558 is about 6534.9489669010. The cubic root of 42705558 is about 349.5383246178.

It can be divided in two parts, 42 and 705558, that added together give a square (705600 = 8402).

The spelling of 42705558 in words is "forty-two million, seven hundred five thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 6917 13834 20751 41502 48419 62253 96838 124506 145257 290514 338933 435771 677866 871542 1016799 2033598 2372531 3050397 4745062 6100794 7117593 14235186 21352779 42705558