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419896372 = 227233471879
BaseRepresentation
bin11001000001110…
…001110000110100
31002021002221112111
4121001301300310
51324443140442
6105355500404
713256026450
oct3101616064
91067087474
10419896372
111a60253a5
12b8757704
1368cb97bc
143daa3660
1526ce3b17
hex19071c34

419896372 has 48 divisors (see below), whose sum is σ = 879298560. Its totient is φ = 171544032.

The previous prime is 419896363. The next prime is 419896403. The reversal of 419896372 is 273698914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222529 + ... + 224407.

It is an arithmetic number, because the mean of its divisors is an integer number (18318720).

Almost surely, 2419896372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419896372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439649280).

419896372 is an abundant number, since it is smaller than the sum of its proper divisors (459402188).

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

419896372 is a wasteful number, since it uses less digits than its factorization.

419896372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 419896372 is about 20491.3731116292. The cubic root of 419896372 is about 748.8256418407.

The spelling of 419896372 in words is "four hundred nineteen million, eight hundred ninety-six thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 347 644 694 1388 1879 2429 3758 4858 7516 7981 9716 13153 15962 26306 31924 43217 52612 55867 86434 111734 172868 223468 302519 605038 652013 1210076 1304026 2608052 4564091 9128182 14996299 18256364 29992598 59985196 104974093 209948186 419896372