Search a number
-
+
42145704 = 2333414759
BaseRepresentation
bin1010000011000…
…1011110101000
32221022020001000
42200301132220
541242130304
64103155000
71021142526
oct240613650
987266030
1042145704
1121876767
1212145a60
1389683b3
145851316
153a77939
hex28317a8

42145704 has 64 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 13703040.

The previous prime is 42145679. The next prime is 42145711. The reversal of 42145704 is 40754124.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 6477 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 242145704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42145704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

42145704 is an abundant number, since it is smaller than the sum of its proper divisors (77806296).

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

42145704 is a wasteful number, since it uses less digits than its factorization.

42145704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42145704 is about 6491.9722735083. The cubic root of 42145704 is about 348.0041616625.

Adding to 42145704 its reverse (40754124), we get a palindrome (82899828).

It can be divided in two parts, 42145 and 704, that added together give a square (42849 = 2072).

The spelling of 42145704 in words is "forty-two million, one hundred forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 4759 8856 9518 14277 19036 28554 38072 42831 57108 85662 114216 128493 171324 195119 256986 342648 390238 513972 585357 780476 1027944 1170714 1560952 1756071 2341428 3512142 4682856 5268213 7024284 10536426 14048568 21072852 42145704