Search a number
-
+
42195810 = 2351638629
BaseRepresentation
bin1010000011110…
…1101101100010
32221101202202210
42200331231202
541300231220
64104222550
71021441566
oct240755542
987352683
1042195810
1121900378
121216aa56
138985147
1458656a6
153a876e0
hex283db62

42195810 has 32 divisors (see below), whose sum is σ = 101903040. Its totient is φ = 11181888.

The previous prime is 42195793. The next prime is 42195821. The reversal of 42195810 is 1859124.

It is a happy number.

42195810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421958102 = 3560972763112200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576 + ... + 9204.

It is an arithmetic number, because the mean of its divisors is an integer number (3184470).

Almost surely, 242195810 is an apocalyptic number.

42195810 is an abundant number, since it is smaller than the sum of its proper divisors (59707230).

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

42195810 is a wasteful number, since it uses less digits than its factorization.

42195810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 42195810 is about 6495.8302009828. The cubic root of 42195810 is about 348.1420182667.

The spelling of 42195810 in words is "forty-two million, one hundred ninety-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 163 326 489 815 978 1630 2445 4890 8629 17258 25887 43145 51774 86290 129435 258870 1406527 2813054 4219581 7032635 8439162 14065270 21097905 42195810