Search a number
-
+
419371253 = 7224173541
BaseRepresentation
bin11000111111110…
…001100011110101
31002020010021012122
4120333301203311
51324324340003
6105340325325
713251411500
oct3077614365
91066107178
10419371253
111a57a6914
12b8543845
1368b64792
143d9a8137
1526c3d238
hex18ff18f5

419371253 has 12 divisors (see below), whose sum is σ = 488179692. Its totient is φ = 359210880.

The previous prime is 419371229. The next prime is 419371273. The reversal of 419371253 is 352173914.

It can be written as a sum of positive squares in 2 ways, for example, as 317623684 + 101747569 = 17822^2 + 10087^2 .

It is not a de Polignac number, because 419371253 - 228 = 150935797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419371273) 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, 116663 + ... + 120203.

It is an arithmetic number, because the mean of its divisors is an integer number (40681641).

Almost surely, 2419371253 is an apocalyptic number.

It is an amenable number.

419371253 is a deficient number, since it is larger than the sum of its proper divisors (68808439).

419371253 is a wasteful number, since it uses less digits than its factorization.

419371253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5965 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 419371253 is about 20478.5559305338. Note that the first 3 decimals coincide. The cubic root of 419371253 is about 748.5133531962.

The spelling of 419371253 in words is "four hundred nineteen million, three hundred seventy-one thousand, two hundred fifty-three".

Divisors: 1 7 49 2417 3541 16919 24787 118433 173509 8558597 59910179 419371253