Search a number
-
+
424263168 = 2932721879
BaseRepresentation
bin11001010010011…
…011111000000000
31002120022210122200
4121102123320000
51332102410133
6110033233200
713341114600
oct3122337000
91076283580
10424263168
111a853821a
12ba102800
1369b882c4
14404bcc00
15273a7913
hex1949be00

424263168 has 180 divisors, whose sum is σ = 1425120840. Its totient is φ = 121153536.

The previous prime is 424263163. The next prime is 424263173. The reversal of 424263168 is 861362424.

It is an interprime number because it is at equal distance from previous prime (424263163) and next prime (424263173).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424263163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224853 + ... + 226731.

It is an arithmetic number, because the mean of its divisors is an integer number (7917338).

Almost surely, 2424263168 is an apocalyptic number.

424263168 is a gapful number since it is divisible by the number (48) 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 424263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712560420).

424263168 is an abundant number, since it is smaller than the sum of its proper divisors (1000857672).

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

424263168 is a wasteful number, since it uses less digits than its factorization.

424263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1891 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 424263168 is about 20597.6495746481. The cubic root of 424263168 is about 751.4125486051.

The spelling of 424263168 in words is "four hundred twenty-four million, two hundred sixty-three thousand, one hundred sixty-eight".