Search a number
-
+
421025440 = 255111391721
BaseRepresentation
bin11001000110000…
…101011010100000
31002100020022022211
4121012011122200
51330240303230
6105440011504
713301441263
oct3106053240
91070208284
10421025440
111a6726710
12b9000b94
13692c36a4
143dcb8cda
1526e6842a
hex191856a0

421025440 has 96 divisors (see below), whose sum is σ = 1093538880. Its totient is φ = 151910400.

The previous prime is 421025413. The next prime is 421025453. The reversal of 421025440 is 44520124.

It is a happy number.

It is a super-2 number, since 2×4210254402 = 354524842254387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 243780 + ... + 245500.

It is an arithmetic number, because the mean of its divisors is an integer number (11391030).

Almost surely, 2421025440 is an apocalyptic number.

421025440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546769440).

421025440 is an abundant number, since it is smaller than the sum of its proper divisors (672513440).

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

421025440 is a wasteful number, since it uses less digits than its factorization.

421025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 421025440 is about 20518.9044541857. The cubic root of 421025440 is about 749.4962187187.

Adding to 421025440 its reverse (44520124), we get a palindrome (465545564).

The spelling of 421025440 in words is "four hundred twenty-one million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 139 160 176 220 278 352 440 556 695 880 1112 1390 1529 1721 1760 2224 2780 3058 3442 4448 5560 6116 6884 7645 8605 11120 12232 13768 15290 17210 18931 22240 24464 27536 30580 34420 37862 48928 55072 61160 68840 75724 94655 122320 137680 151448 189310 239219 244640 275360 302896 378620 478438 605792 757240 956876 1196095 1514480 1913752 2392190 2631409 3028960 3827504 4784380 5262818 7655008 9568760 10525636 13157045 19137520 21051272 26314090 38275040 42102544 52628180 84205088 105256360 210512720 421025440