Search a number
-
+
40071042 = 23211439461
BaseRepresentation
bin1001100011011…
…0111110000010
32210101211010200
42120312332002
540224233132
63550510030
7664412124
oct230667602
983354120
1040071042
1120689a70
1211505316
1383bcc9b
145471214
1537b7d7c
hex2636f82

40071042 has 48 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 12088800.

The previous prime is 40071041. The next prime is 40071049. The reversal of 40071042 is 24017004.

It is a happy number.

40071042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40071041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 86692 + ... + 87152.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 240071042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40071042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

40071042 is an abundant number, since it is smaller than the sum of its proper divisors (55063998).

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

40071042 is a wasteful number, since it uses less digits than its factorization.

40071042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40071042 is about 6330.1691920517. The cubic root of 40071042 is about 342.1975364417.

Adding to 40071042 its reverse (24017004), we get a palindrome (64088046).

The spelling of 40071042 in words is "forty million, seventy-one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 439 461 878 922 1317 1383 2634 2766 3951 4149 4829 5071 7902 8298 9658 10142 14487 15213 28974 30426 43461 45639 86922 91278 202379 404758 607137 1214274 1821411 2226169 3642822 4452338 6678507 13357014 20035521 40071042