Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
801621468 = 223317735981
BaseRepresentation
bin101111110001111…
…100010111011100
32001212101120221000
4233301330113130
53120203341333
6211313310300
725602445554
oct5761742734
92055346830
10801621468
1138154908a
121a4565390
13ca0ccc3b
147866c164
154a597713
hex2fc7c5dc

801621468 has 96 divisors (see below), whose sum is σ = 2231046720. Its totient is φ = 248002560.

The previous prime is 801621421. The next prime is 801621473. The reversal of 801621468 is 864126108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131038 + ... + 137018.

It is an arithmetic number, because the mean of its divisors is an integer number (23240070).

Almost surely, 2801621468 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 801621468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115523360).

801621468 is an abundant number, since it is smaller than the sum of its proper divisors (1429425252).

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

801621468 is a wasteful number, since it uses less digits than its factorization.

801621468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 801621468 is about 28312.9205134334. The cubic root of 801621468 is about 928.9445257809.

The spelling of 801621468 in words is "eight hundred one million, six hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 292 306 438 459 612 657 876 918 1241 1314 1836 1971 2482 2628 3723 3942 4964 5981 7446 7884 11169 11962 14892 17943 22338 23924 33507 35886 44676 53829 67014 71772 101677 107658 134028 161487 203354 215316 305031 322974 406708 436613 610062 645948 873226 915093 1220124 1309839 1746452 1830186 2619678 2745279 3660372 3929517 5239356 5490558 7422421 7859034 10981116 11788551 14844842 15718068 22267263 23577102 29689684 44534526 47154204 66801789 89069052 133603578 200405367 267207156 400810734 801621468