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405227104 = 2559713023
BaseRepresentation
bin11000001001110…
…100011001100000
31001020111200002021
4120021310121200
51312214231404
6104113231224
713020242062
oct3011643140
91036450067
10405227104
11198816137
12b3862514
1365c51869
143bb65732
1525897454
hex18274660

405227104 has 48 divisors (see below), whose sum is σ = 823011840. Its totient is φ = 196309120.

The previous prime is 405227101. The next prime is 405227107. The reversal of 405227104 is 401722504.

It is an interprime number because it is at equal distance from previous prime (405227101) and next prime (405227107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405227101) 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 7 ways as a sum of consecutive naturals, for example, 132537 + ... + 135559.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 2405227104 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 405227104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

405227104 is an abundant number, since it is smaller than the sum of its proper divisors (417784736).

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

405227104 is a wasteful number, since it uses less digits than its factorization.

405227104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 405227104 is about 20130.2534509628. The cubic root of 405227104 is about 740.0018894522.

Adding to 405227104 its reverse (401722504), we get a palindrome (806949608).

The spelling of 405227104 in words is "four hundred five million, two hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 71 118 142 236 284 472 568 944 1136 1888 2272 3023 4189 6046 8378 12092 16756 24184 33512 48368 67024 96736 134048 178357 214633 356714 429266 713428 858532 1426856 1717064 2853712 3434128 5707424 6868256 12663347 25326694 50653388 101306776 202613552 405227104