Search a number
-
+
42194988 = 223211127839
BaseRepresentation
bin1010000011110…
…1100000101100
32221101201122100
42200331200230
541300214423
64104215100
71021436313
oct240754054
987351570
1042194988
11218aa7a0
121216a490
138984964
14586527a
153a87343
hex283d82c

42194988 has 72 divisors (see below), whose sum is σ = 117411840. Its totient is φ = 12670560.

The previous prime is 42194983. The next prime is 42194993. The reversal of 42194988 is 88949124.

It is an interprime number because it is at equal distance from previous prime (42194983) and next prime (42194993).

It is not an unprimeable number, because it can be changed into a prime (42194983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49873 + ... + 50711.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 242194988 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 42194988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705920).

42194988 is an abundant number, since it is smaller than the sum of its proper divisors (75216852).

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

42194988 is a wasteful number, since it uses less digits than its factorization.

42194988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 982 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 42194988 is about 6495.7669293164. The cubic root of 42194988 is about 348.1397575794.

The spelling of 42194988 in words is "forty-two million, one hundred ninety-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 839 1143 1397 1524 1678 2286 2517 2794 3356 4191 4572 5034 5588 7551 8382 9229 10068 12573 15102 16764 18458 25146 27687 30204 36916 50292 55374 83061 106553 110748 166122 213106 319659 332244 426212 639318 958977 1172083 1278636 1917954 2344166 3516249 3835908 4688332 7032498 10548747 14064996 21097494 42194988