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416045949 = 31112607453
BaseRepresentation
bin11000110011000…
…101101101111101
31001222212022202020
4120303011231331
51323001432244
6105141150353
713211221644
oct3063055575
91058768666
10416045949
111a3935530
12b73bb3b9
136826c047
143d38035b
15267d2d19
hex18cc5b7d

416045949 has 8 divisors (see below), whose sum is σ = 605157792. Its totient is φ = 252149040.

The previous prime is 416045939. The next prime is 416045963. The reversal of 416045949 is 949540614.

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

It is not a de Polignac number, because 416045949 - 24 = 416045933 is a prime.

It is a super-3 number, since 3×4160459493 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416045949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416045909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6303694 + ... + 6303759.

It is an arithmetic number, because the mean of its divisors is an integer number (75644724).

Almost surely, 2416045949 is an apocalyptic number.

It is an amenable number.

416045949 is a deficient number, since it is larger than the sum of its proper divisors (189111843).

416045949 is a wasteful number, since it uses less digits than its factorization.

416045949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607467.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 416045949 is about 20397.2044408051. The cubic root of 416045949 is about 746.5297151521.

The spelling of 416045949 in words is "four hundred sixteen million, forty-five thousand, nine hundred forty-nine".

Divisors: 1 3 11 33 12607453 37822359 138681983 416045949