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407441090 = 25723211003
BaseRepresentation
bin11000010010010…
…000111011000010
31001101200011002202
4120102100323002
51313301103330
6104232513202
713045122620
oct3022207302
91041604082
10407441090
11199a98581
12b454b802
1366548504
143c180510
1525b83445
hex18490ec2

407441090 has 48 divisors (see below), whose sum is σ = 876270528. Its totient is φ = 133608288.

The previous prime is 407441087. The next prime is 407441093. The reversal of 407441090 is 90144704.

It is an interprime number because it is at equal distance from previous prime (407441087) and next prime (407441093).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407441093) 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, 31529 + ... + 42531.

It is an arithmetic number, because the mean of its divisors is an integer number (18255636).

Almost surely, 2407441090 is an apocalyptic number.

407441090 is an abundant number, since it is smaller than the sum of its proper divisors (468829438).

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

407441090 is a wasteful number, since it uses less digits than its factorization.

407441090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 407441090 is about 20185.1700513025. The cubic root of 407441090 is about 741.3471261340.

Adding to 407441090 its reverse (90144704), we get a palindrome (497585794).

The spelling of 407441090 in words is "four hundred seven million, four hundred forty-one thousand, ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 529 805 1058 1610 2645 3703 5290 7406 11003 18515 22006 37030 55015 77021 110030 154042 253069 385105 506138 770210 1265345 1771483 2530690 3542966 5820587 8857415 11641174 17714830 29102935 40744109 58205870 81488218 203720545 407441090