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406144076 = 2213171924181
BaseRepresentation
bin11000001101010…
…100010001001100
31001022020020221012
4120031110101030
51312433102301
6104145024352
713031111342
oct3015242114
91038206835
10406144076
11199292068
12b40250b8
13661b3050
143bd23992
15259c8ebb
hex1835444c

406144076 has 48 divisors (see below), whose sum is σ = 853140960. Its totient is φ = 167132160.

The previous prime is 406144049. The next prime is 406144091. The reversal of 406144076 is 670441604.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4706 + ... + 28886.

It is an arithmetic number, because the mean of its divisors is an integer number (17773770).

Almost surely, 2406144076 is an apocalyptic number.

It is an amenable number.

406144076 is an abundant number, since it is smaller than the sum of its proper divisors (446996884).

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

406144076 is a wasteful number, since it uses less digits than its factorization.

406144076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24234 (or 24232 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 406144076 is about 20153.0165483979. The cubic root of 406144076 is about 740.5596423920.

The spelling of 406144076 in words is "four hundred six million, one hundred forty-four thousand, seventy-six".

Divisors: 1 2 4 13 17 19 26 34 38 52 68 76 221 247 323 442 494 646 884 988 1292 4199 8398 16796 24181 48362 96724 314353 411077 459439 628706 822154 918878 1257412 1644308 1837756 5344001 5972707 7810463 10688002 11945414 15620926 21376004 23890828 31241852 101536019 203072038 406144076