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40585340 = 22523831063
BaseRepresentation
bin1001101011010…
…0100001111100
32211100221121202
42122310201330
540342212330
64005515032
71001653415
oct232644174
984327552
1040585340
1120a00404
1211712a78
1385400c3
14556680c
15386a445
hex26b487c

40585340 has 48 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 15326784.

The previous prime is 40585339. The next prime is 40585343. The reversal of 40585340 is 4358504.

40585340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40585343) 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 15 ways as a sum of consecutive naturals, for example, 37649 + ... + 38711.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 240585340 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 40585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

40585340 is an abundant number, since it is smaller than the sum of its proper divisors (49505668).

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

40585340 is a wasteful number, since it uses less digits than its factorization.

40585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 40585340 is about 6370.6624459313. The cubic root of 40585340 is about 343.6553132044.

The spelling of 40585340 in words is "forty million, five hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1063 1660 1909 2126 3818 4252 5315 7636 9545 10630 19090 21260 24449 38180 48898 88229 97796 122245 176458 244490 352916 441145 488980 882290 1764580 2029267 4058534 8117068 10146335 20292670 40585340