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414493992 = 233211523351
BaseRepresentation
bin11000101101001…
…010110100101000
31001212221110212100
4120231022310220
51322102301432
6105044013400
713162066203
oct3055126450
91055843770
10414493992
111a2a75520
12b6991260
1367b47823
143d09893a
15265c807c
hex18b4ad28

414493992 has 48 divisors (see below), whose sum is σ = 1224643680. Its totient is φ = 125604000.

The previous prime is 414493991. The next prime is 414493999. The reversal of 414493992 is 299394414.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414493991) 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 11 ways as a sum of consecutive naturals, for example, 260884 + ... + 262467.

It is an arithmetic number, because the mean of its divisors is an integer number (25513410).

Almost surely, 2414493992 is an apocalyptic number.

It is an amenable number.

414493992 is an abundant number, since it is smaller than the sum of its proper divisors (810149688).

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

414493992 is a wasteful number, since it uses less digits than its factorization.

414493992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523374 (or 523367 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 414493992 is about 20359.1255214953. The cubic root of 414493992 is about 745.6003101072.

The spelling of 414493992 in words is "four hundred fourteen million, four hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 523351 1046702 1570053 2093404 3140106 4186808 4710159 5756861 6280212 9420318 11513722 12560424 17270583 18840636 23027444 34541166 37681272 46054888 51811749 69082332 103623498 138164664 207246996 414493992