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416090441 = 13178717911
BaseRepresentation
bin11000110011010…
…000100101001001
31001222221120210002
4120303100211021
51323004343231
6105142132345
713211465444
oct3063204511
91058846702
10416090441
111a39659a8
12b74210b5
1368286380
143d39265b
15267e10cb
hex18cd0949

416090441 has 8 divisors (see below), whose sum is σ = 448373184. Its totient is φ = 383847120.

The previous prime is 416090429. The next prime is 416090449. The reversal of 416090441 is 144090614.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416090441 - 26 = 416090377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416090449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14276 + ... + 32186.

It is an arithmetic number, because the mean of its divisors is an integer number (56046648).

Almost surely, 2416090441 is an apocalyptic number.

It is an amenable number.

416090441 is a deficient number, since it is larger than the sum of its proper divisors (32282743).

416090441 is a wasteful number, since it uses less digits than its factorization.

416090441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19711.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 416090441 is about 20398.2950513027. The cubic root of 416090441 is about 746.5563255271.

The spelling of 416090441 in words is "four hundred sixteen million, ninety thousand, four hundred forty-one".

Divisors: 1 13 1787 17911 23231 232843 32006957 416090441