Search a number
-
+
42174930 = 2357229877
BaseRepresentation
bin1010000011100…
…0100111010010
32221100201010110
42200320213102
541244044210
64103542150
71021323660
oct240704722
987321113
1042174930
1121896716
121215a956
1389787a5
14585bc30
153a81420
hex28389d2

42174930 has 64 divisors (see below), whose sum is σ = 116317440. Its totient is φ = 9586944.

The previous prime is 42174907. The next prime is 42174941. The reversal of 42174930 is 3947124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47652 + ... + 48528.

It is an arithmetic number, because the mean of its divisors is an integer number (1817460).

Almost surely, 242174930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58158720).

42174930 is an abundant number, since it is smaller than the sum of its proper divisors (74142510).

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

42174930 is a wasteful number, since it uses less digits than its factorization.

42174930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42174930 is about 6494.2228172430. Note that the first 3 decimals coincide. The cubic root of 42174930 is about 348.0845844070.

The spelling of 42174930 in words is "forty-two million, one hundred seventy-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 877 1145 1374 1603 1754 2290 2631 3206 3435 4385 4809 5262 6139 6870 8015 8770 9618 12278 13155 16030 18417 24045 26310 30695 36834 48090 61390 92085 184170 200833 401666 602499 1004165 1204998 1405831 2008330 2811662 3012495 4217493 6024990 7029155 8434986 14058310 21087465 42174930