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426018252 = 2231121811621
BaseRepresentation
bin11001011001001…
…000010111001100
31002200121222011210
4121121020113030
51333030041002
6110135014420
713362044502
oct3131102714
91080558153
10426018252
111a9526900
12ba80a410
136a35110a
1440818672
152760296c
hex196485cc

426018252 has 72 divisors (see below), whose sum is σ = 1099339696. Its totient is φ = 128304000.

The previous prime is 426018251. The next prime is 426018269. The reversal of 426018252 is 252810624.

It is not an unprimeable number, because it can be changed into a prime (426018251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262002 + ... + 263622.

Almost surely, 2426018252 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 426018252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549669848).

426018252 is an abundant number, since it is smaller than the sum of its proper divisors (673321444).

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

426018252 is a wasteful number, since it uses less digits than its factorization.

426018252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 426018252 is about 20640.2095919591. The cubic root of 426018252 is about 752.4472662759.

Adding to 426018252 its reverse (252810624), we get a palindrome (678828876).

The spelling of 426018252 in words is "four hundred twenty-six million, eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 181 242 362 363 484 543 724 726 1086 1452 1621 1991 2172 3242 3982 4863 5973 6484 7964 9726 11946 17831 19452 21901 23892 35662 43802 53493 65703 71324 87604 106986 131406 196141 213972 262812 293401 392282 586802 588423 784564 880203 1173604 1176846 1760406 2353692 3227411 3520812 6454822 9682233 12909644 19364466 35501521 38728932 71003042 106504563 142006084 213009126 426018252