Search a number
-
+
40401702 = 232111071907
BaseRepresentation
bin1001101000011…
…1101100100110
32211000121201100
42122013230212
540320323302
64001540530
71000260135
oct232075446
984017640
1040401702
1120895440
1211644746
1384a7643
14551991c
153830d1c
hex2687b26

40401702 has 48 divisors (see below), whose sum is σ = 96437952. Its totient is φ = 12122160.

The previous prime is 40401701. The next prime is 40401709. The reversal of 40401702 is 20710404.

It is a happy number.

40401702 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 (40401701) 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, 20233 + ... + 22139.

It is an arithmetic number, because the mean of its divisors is an integer number (2009124).

Almost surely, 240401702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40401702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48218976).

40401702 is an abundant number, since it is smaller than the sum of its proper divisors (56036250).

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

40401702 is a wasteful number, since it uses less digits than its factorization.

40401702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2030 counting only the distinct ones).

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

The square root of 40401702 is about 6356.2333185622. The cubic root of 40401702 is about 343.1362128180.

The spelling of 40401702 in words is "forty million, four hundred one thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1907 1926 2354 3531 3814 5721 7062 10593 11442 17163 20977 21186 34326 41954 62931 125862 188793 204049 377586 408098 612147 1224294 1836441 2244539 3672882 4489078 6733617 13467234 20200851 40401702