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404212005 = 3352329672
BaseRepresentation
bin11000000101111…
…100100100100101
31001011121002122000
4120011330210211
51311434241010
6104035355513
713005513441
oct3005744445
91034532560
10404212005
1119819250a
12b3452b99
1365987802
143b97d821
15257467c0
hex1817c925

404212005 has 96 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 196124544.

The previous prime is 404212001. The next prime is 404212019. The reversal of 404212005 is 500212404.

404212005 is a `hidden beast` number, since 40 + 421 + 200 + 5 = 666.

It is not a de Polignac number, because 404212005 - 22 = 404212001 is a prime.

It is a super-2 number, since 2×4042120052 = 326774689972240050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404212001) 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 95 ways as a sum of consecutive naturals, for example, 6032982 + ... + 6033048.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2404212005 is an apocalyptic number.

404212005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404212005 is a deficient number, since it is larger than the sum of its proper divisors (383237595).

404212005 is a wasteful number, since it uses less digits than its factorization.

404212005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404212005 is about 20105.0243720320. The cubic root of 404212005 is about 739.3834680951.

Adding to 404212005 its reverse (500212404), we get a palindrome (904424409).

The spelling of 404212005 in words is "four hundred four million, two hundred twelve thousand, five".

Divisors: 1 3 5 9 15 23 27 29 45 67 69 87 115 135 145 201 207 261 335 345 435 603 621 667 783 1005 1035 1305 1541 1809 1943 2001 3015 3105 3335 3915 4489 4623 5829 6003 7705 9045 9715 10005 13467 13869 17487 18009 22445 23115 29145 30015 40401 41607 44689 52461 67335 69345 87435 90045 103247 121203 130181 134067 202005 208035 223445 262305 309741 390543 402201 516235 606015 650905 670335 929223 1171629 1206603 1548705 1952715 2011005 2787669 2994163 3514887 4646115 5858145 6033015 8982489 13938345 14970815 17574435 26947467 44912445 80842401 134737335 404212005