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405421872 = 24314535813
BaseRepresentation
bin11000001010100…
…011111100110000
31001020212120020220
4120022203330300
51312241444442
6104121333040
713022012652
oct3012437460
91036776226
10405421872
111989394a9
12b3937180
1365cbc3cb
143bbb66d2
15258d4eec
hex182a3f30

405421872 has 40 divisors (see below), whose sum is σ = 1048240944. Its totient is φ = 135024384.

The previous prime is 405421871. The next prime is 405421927. The reversal of 405421872 is 278124504.

It is a super-3 number, since 3×4054218723 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (405421871) 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 7 ways as a sum of consecutive naturals, for example, 66838 + ... + 72650.

Almost surely, 2405421872 is an apocalyptic number.

It is an amenable number.

405421872 is an abundant number, since it is smaller than the sum of its proper divisors (642819072).

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

405421872 is a wasteful number, since it uses less digits than its factorization.

405421872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 405421872 is about 20135.0905634914. The cubic root of 405421872 is about 740.1204284159.

The spelling of 405421872 in words is "four hundred five million, four hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1453 2906 4359 5812 5813 8718 11624 11626 17436 17439 23248 23252 34872 34878 46504 69744 69756 93008 139512 279024 8446289 16892578 25338867 33785156 50677734 67570312 101355468 135140624 202710936 405421872