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416976404 = 22132616829
BaseRepresentation
bin11000110110101…
…000111000010100
31002001121121002112
4120312220320110
51323221221104
6105213130152
713222145435
oct3066507024
91061547075
10416976404
111a44105a9
12b7789958
1368506700
143d54348c
152691886e
hex18da8e14

416976404 has 18 divisors (see below), whose sum is σ = 790159230. Its totient is φ = 192450336.

The previous prime is 416976389. The next prime is 416976431. The reversal of 416976404 is 404679614.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 416976400 = 2^2 + 20420^2 .

It is a congruent number.

It is an unprimeable number.

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, 307739 + ... + 309090.

It is an arithmetic number, because the mean of its divisors is an integer number (43897735).

Almost surely, 2416976404 is an apocalyptic number.

It is an amenable number.

416976404 is a deficient number, since it is larger than the sum of its proper divisors (373182826).

416976404 is a wasteful number, since it uses less digits than its factorization.

416976404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616859 (or 616844 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 416976404 is about 20420.0000979432. Note that the first 4 decimals coincide. The cubic root of 416976404 is about 747.0858196997.

The spelling of 416976404 in words is "four hundred sixteen million, nine hundred seventy-six thousand, four hundred four".

Divisors: 1 2 4 13 26 52 169 338 676 616829 1233658 2467316 8018777 16037554 32075108 104244101 208488202 416976404