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414728442 = 23223040469
BaseRepresentation
bin11000101110000…
…100000011111010
31001220101101110200
4120232010003322
51322132302232
6105053023030
713164063552
oct3056040372
91056341420
10414728442
111a3115687
12b6a84a76
1367bca45b
143d11a162
152662277c
hex18b840fa

414728442 has 12 divisors (see below), whose sum is σ = 898578330. Its totient is φ = 138242808.

The previous prime is 414728441. The next prime is 414728453. The reversal of 414728442 is 244827414.

It can be written as a sum of positive squares in only one way, i.e., 284563161 + 130165281 = 16869^2 + 11409^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 414728397 and 414728406.

It is not an unprimeable number, because it can be changed into a prime (414728441) 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 5 ways as a sum of consecutive naturals, for example, 11520217 + ... + 11520252.

Almost surely, 2414728442 is an apocalyptic number.

414728442 is an abundant number, since it is smaller than the sum of its proper divisors (483849888).

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

414728442 is a wasteful number, since it uses less digits than its factorization.

414728442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040477 (or 23040474 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 414728442 is about 20364.8825677930. The cubic root of 414728442 is about 745.7408614364.

The spelling of 414728442 in words is "four hundred fourteen million, seven hundred twenty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23040469 46080938 69121407 138242814 207364221 414728442