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419922064 = 244721092
BaseRepresentation
bin11001000001111…
…000000010010000
31002021011020210001
4121001320002100
51330000001224
6105400215344
713256164402
oct3101700220
91067136701
10419922064
111a6042731
12b876a554
1368cc83c3
143daacb72
1526ceb544
hex19078090

419922064 has 45 divisors (see below), whose sum is σ = 838974297. Its totient is φ = 203608512.

The previous prime is 419922029. The next prime is 419922073. The reversal of 419922064 is 460229914.

It is a happy number.

The square root of 419922064 is 20492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 292683664 + 127238400 = 17108^2 + 11280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3852442 + ... + 3852550.

Almost surely, 2419922064 is an apocalyptic number.

419922064 is the 20492-nd square number.

It is an amenable number.

419922064 is a deficient number, since it is larger than the sum of its proper divisors (419052233).

419922064 is an equidigital number, since it uses as much as digits as its factorization.

419922064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 419922064 is about 748.8409142089.

The spelling of 419922064 in words is "four hundred nineteen million, nine hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 47 94 109 188 218 376 436 752 872 1744 2209 4418 5123 8836 10246 11881 17672 20492 23762 35344 40984 47524 81968 95048 190096 240781 481562 558407 963124 1116814 1926248 2233628 3852496 4467256 8934512 26245129 52490258 104980516 209961032 419922064