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416172419 = 132310113781
BaseRepresentation
bin11000110011100…
…100100110000011
31002000002202020022
4120303210212003
51323020004134
6105144004055
713212256445
oct3063444603
91060082208
10416172419
111a3a11553
12b746062b
13682b4790
143d3b4495
152680a52e
hex18ce4983

416172419 has 16 divisors (see below), whose sum is σ = 472336704. Its totient is φ = 363792000.

The previous prime is 416172403. The next prime is 416172437. The reversal of 416172419 is 914271614.

It is not a de Polignac number, because 416172419 - 24 = 416172403 is a prime.

It is a super-2 number, since 2×4161724192 = 346398964672623122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416172479) 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, 23309 + ... + 37089.

It is an arithmetic number, because the mean of its divisors is an integer number (29521044).

Almost surely, 2416172419 is an apocalyptic number.

416172419 is a deficient number, since it is larger than the sum of its proper divisors (56164285).

416172419 is a wasteful number, since it uses less digits than its factorization.

416172419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918.

The product of its digits is 12096, while the sum is 35.

The square root of 416172419 is about 20400.3043849841. The cubic root of 416172419 is about 746.6053510670.

The spelling of 416172419 in words is "four hundred sixteen million, one hundred seventy-two thousand, four hundred nineteen".

Divisors: 1 13 23 101 299 1313 2323 13781 30199 179153 316963 1391881 4120519 18094453 32013263 416172419