Search a number
-
+
419493448 = 23112433361
BaseRepresentation
bin11001000000001…
…111011001001000
31002020100110211101
4121000033121020
51324342242243
6105343111144
713252430653
oct3100173110
91066313741
10419493448
111a587a700
12b85a24b4
1368ba829a
143d9da89a
1526c6454d
hex1900f648

419493448 has 24 divisors (see below), whose sum is σ = 864557190. Its totient is φ = 190678400.

The previous prime is 419493407. The next prime is 419493461. The reversal of 419493448 is 844394914.

It can be written as a sum of positive squares in only one way, i.e., 244672164 + 174821284 = 15642^2 + 13222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 419493398 and 419493407.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 215713 + ... + 217648.

Almost surely, 2419493448 is an apocalyptic number.

It is an amenable number.

419493448 is an abundant number, since it is smaller than the sum of its proper divisors (445063742).

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

419493448 is a wasteful number, since it uses less digits than its factorization.

419493448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433389 (or 433374 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 419493448 is about 20481.5391999723. The cubic root of 419493448 is about 748.5860459129.

The spelling of 419493448 in words is "four hundred nineteen million, four hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 433361 866722 1733444 3466888 4766971 9533942 19067884 38135768 52436681 104873362 209746724 419493448