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406414452 = 223476111813
BaseRepresentation
bin11000001110010…
…110010001110100
31001022201222211010
4120032112101310
51313020230302
6104154512220
713033315533
oct3016262164
91038658733
10406414452
11199457214
12b4135670
1366279132
143bd9431a
1525a2e16c
hex18396474

406414452 has 48 divisors (see below), whose sum is σ = 984436992. Its totient is φ = 130404480.

The previous prime is 406414451. The next prime is 406414453. The reversal of 406414452 is 254414604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406414451) and next prime (406414453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406414451) 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 15 ways as a sum of consecutive naturals, for example, 28498 + ... + 40310.

It is an arithmetic number, because the mean of its divisors is an integer number (20509104).

Almost surely, 2406414452 is an apocalyptic number.

It is an amenable number.

406414452 is an abundant number, since it is smaller than the sum of its proper divisors (578022540).

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

406414452 is a wasteful number, since it uses less digits than its factorization.

406414452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 406414452 is about 20159.7235100088. The cubic root of 406414452 is about 740.7239397028.

The spelling of 406414452 in words is "four hundred six million, four hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 47 61 94 122 141 183 188 244 282 366 564 732 2867 5734 8601 11468 11813 17202 23626 34404 35439 47252 70878 141756 555211 720593 1110422 1441186 1665633 2161779 2220844 2882372 3331266 4323558 6662532 8647116 33867871 67735742 101603613 135471484 203207226 406414452