Search a number
-
+
40441302 = 23311103661
BaseRepresentation
bin1001101001000…
…1010111010110
32211002122001000
42122101113112
540323110202
64002444130
71000513446
oct232212726
984078030
1040441302
1120912170
1211663646
1384bc685
14552a126
15383c91c
hex26915d6

40441302 has 64 divisors (see below), whose sum is σ = 99141120. Its totient is φ = 12117600.

The previous prime is 40441277. The next prime is 40441327. The reversal of 40441302 is 20314404.

40441302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40441277) and next prime (40441327).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 60852 + ... + 61512.

It is an arithmetic number, because the mean of its divisors is an integer number (1549080).

Almost surely, 240441302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49570560).

40441302 is an abundant number, since it is smaller than the sum of its proper divisors (58699818).

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

40441302 is a wasteful number, since it uses less digits than its factorization.

40441302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40441302 is about 6359.3476080491. The cubic root of 40441302 is about 343.2482852989.

Adding to 40441302 its reverse (20314404), we get a palindrome (60755706).

The spelling of 40441302 in words is "forty million, four hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 661 927 1133 1322 1854 1983 2266 2781 3399 3966 5562 5949 6798 7271 10197 11898 14542 17847 20394 21813 30591 35694 43626 61182 65439 68083 130878 136166 196317 204249 392634 408498 612747 748913 1225494 1497826 1838241 2246739 3676482 4493478 6740217 13480434 20220651 40441302