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414269996 = 22719799857
BaseRepresentation
bin11000101100010…
…100001000101100
31001212112002121012
4120230110020230
51322023114441
6105035124352
713160144150
oct3054241054
91055462535
10414269996
111a29321a8
12b68a36b8
1367a9989a
143d03b060
15265819eb
hex18b1422c

414269996 has 48 divisors (see below), whose sum is σ = 883276800. Its totient is φ = 166053888.

The previous prime is 414269981. The next prime is 414270013. The reversal of 414269996 is 699962414.

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 15 ways as a sum of consecutive naturals, for example, 37100 + ... + 46956.

It is an arithmetic number, because the mean of its divisors is an integer number (18401600).

Almost surely, 2414269996 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 414269996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441638400).

414269996 is an abundant number, since it is smaller than the sum of its proper divisors (469006804).

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

414269996 is a wasteful number, since it uses less digits than its factorization.

414269996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9964 counting only the distinct ones).

The product of its digits is 839808, while the sum is 50.

The square root of 414269996 is about 20353.6236577176. The cubic root of 414269996 is about 745.4659763701.

The spelling of 414269996 in words is "four hundred fourteen million, two hundred sixty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1501 2212 3002 6004 9857 10507 19714 21014 39428 42028 68999 137998 187283 275996 374566 749132 778703 1310981 1557406 2621962 3114812 5243924 5450921 10901842 14795357 21803684 29590714 59181428 103567499 207134998 414269996