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419091012 = 223241283937
BaseRepresentation
bin11000111110101…
…101001001000100
31002012121000210100
4120332231021010
51324241403022
6105330324100
713246133454
oct3076551104
91065530710
10419091012
111a562530a
12b8429630
1368a97062
143d933d64
1526bd51ac
hex18fad244

419091012 has 36 divisors (see below), whose sum is σ = 1085211036. Its totient is φ = 136289280.

The previous prime is 419090921. The next prime is 419091017. The reversal of 419091012 is 210190914.

It can be written as a sum of positive squares in 2 ways, for example, as 205463556 + 213627456 = 14334^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (419091017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140493 + ... + 143444.

It is an arithmetic number, because the mean of its divisors is an integer number (30144751).

Almost surely, 2419091012 is an apocalyptic number.

It is an amenable number.

419091012 is an abundant number, since it is smaller than the sum of its proper divisors (666120024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419091012 is a wasteful number, since it uses less digits than its factorization.

419091012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283988 (or 283983 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 419091012 is about 20471.7124833268. The cubic root of 419091012 is about 748.3465869791.

The spelling of 419091012 in words is "four hundred nineteen million, ninety-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 283937 567874 851811 1135748 1703622 2555433 3407244 5110866 10221732 11641417 23282834 34924251 46565668 69848502 104772753 139697004 209545506 419091012