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419143940 = 225101207497
BaseRepresentation
bin11000111110111…
…010000100000100
31002012200201101122
4120332322010010
51324300101230
6105331413112
713246443665
oct3076720404
91065621348
10419143940
111a5661056
12b8454198
1368ab5187
143d94936c
1526be5be5
hex18fba104

419143940 has 24 divisors (see below), whose sum is σ = 888921432. Its totient is φ = 165996800.

The previous prime is 419143937. The next prime is 419143951. The reversal of 419143940 is 49341914.

It can be written as a sum of positive squares in 4 ways, for example, as 243422404 + 175721536 = 15602^2 + 13256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 419143940.

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 7 ways as a sum of consecutive naturals, for example, 101729 + ... + 105768.

It is an arithmetic number, because the mean of its divisors is an integer number (37038393).

Almost surely, 2419143940 is an apocalyptic number.

It is an amenable number.

419143940 is an abundant number, since it is smaller than the sum of its proper divisors (469777492).

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

419143940 is a wasteful number, since it uses less digits than its factorization.

419143940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207607 (or 207605 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 419143940 is about 20473.0051531279. The cubic root of 419143940 is about 748.3780891427.

It can be divided in two parts, 41914 and 3940, that added together give a palindrome (45854).

The spelling of 419143940 in words is "four hundred nineteen million, one hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 207497 414994 829988 1037485 2074970 4149940 20957197 41914394 83828788 104785985 209571970 419143940