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416023705 = 5293498221
BaseRepresentation
bin11000110011000…
…000010010011001
31001222211012020101
4120303000102121
51323000224310
6105140455401
713211100046
oct3063002231
91058735211
10416023705
111a391a849
12b73aa561
1368261b96
143d3761cd
15267cb43a
hex18cc0499

416023705 has 16 divisors (see below), whose sum is σ = 517986000. Its totient is φ = 320382720.

The previous prime is 416023661. The next prime is 416023709. The reversal of 416023705 is 507320614.

It can be written as a sum of positive squares in 8 ways, for example, as 44729344 + 371294361 = 6688^2 + 19269^2 .

It is not a de Polignac number, because 416023705 - 221 = 413926553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416023709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46495 + ... + 54715.

It is an arithmetic number, because the mean of its divisors is an integer number (32374125).

Almost surely, 2416023705 is an apocalyptic number.

It is an amenable number.

416023705 is a deficient number, since it is larger than the sum of its proper divisors (101962295).

416023705 is a wasteful number, since it uses less digits than its factorization.

416023705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 416023705 is about 20396.6591627158. The cubic root of 416023705 is about 746.5164104494.

The spelling of 416023705 in words is "four hundred sixteen million, twenty-three thousand, seven hundred five".

Divisors: 1 5 29 145 349 1745 8221 10121 41105 50605 238409 1192045 2869129 14345645 83204741 416023705