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42171678 = 235194567
BaseRepresentation
bin1010000011011…
…1110100011110
32221100112200000
42200313310132
541243443203
64103515130
71021311333
oct240676436
987315600
1042171678
112189422a
1212158aa6
138977173
14585a98a
153a804a3
hex2837d1e

42171678 has 48 divisors (see below), whose sum is σ = 99765120. Its totient is φ = 13314456.

The previous prime is 42171677. The next prime is 42171707. The reversal of 42171678 is 87617124.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42171677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6951 + ... + 11517.

It is an arithmetic number, because the mean of its divisors is an integer number (2078440).

Almost surely, 242171678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42171678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49882560).

42171678 is an abundant number, since it is smaller than the sum of its proper divisors (57593442).

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

42171678 is a wasteful number, since it uses less digits than its factorization.

42171678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4591 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 42171678 is about 6493.9724360364. The cubic root of 42171678 is about 348.0756375424.

It can be divided in two parts, 42171 and 678, that added together give a square (42849 = 2072).

The spelling of 42171678 in words is "forty-two million, one hundred seventy-one thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4567 4617 9134 9234 13701 27402 41103 82206 86773 123309 173546 246618 260319 369927 520638 739854 780957 1109781 1561914 2219562 2342871 4685742 7028613 14057226 21085839 42171678