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426401300 = 2252132411361
BaseRepresentation
bin11001011010100…
…101111000010100
31002201100102121202
4121122211320110
51333124320200
6110151132032
713365231323
oct3132457024
91081312552
10426401300
111a9768676
12ba974018
136a456580
14408b80ba
152767b1d5
hex196a5e14

426401300 has 72 divisors (see below), whose sum is σ = 1001336952. Its totient is φ = 156672000.

The previous prime is 426401299. The next prime is 426401309. The reversal of 426401300 is 3104624.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 210076036 + 216325264 = 14494^2 + 14708^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426401309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312620 + ... + 313980.

Almost surely, 2426401300 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 426401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500668476).

426401300 is an abundant number, since it is smaller than the sum of its proper divisors (574935652).

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

426401300 is a wasteful number, since it uses less digits than its factorization.

426401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 426401300 is about 20649.4866764285. The cubic root of 426401300 is about 752.6727159902.

Adding to 426401300 its reverse (3104624), we get a palindrome (429505924).

The spelling of 426401300 in words is "four hundred twenty-six million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 241 260 325 482 650 964 1205 1300 1361 2410 2722 3133 4820 5444 6025 6266 6805 12050 12532 13610 15665 17693 24100 27220 31330 34025 35386 62660 68050 70772 78325 88465 136100 156650 176930 313300 328001 353860 442325 656002 884650 1312004 1640005 1769300 3280010 4264013 6560020 8200025 8528026 16400050 17056052 21320065 32800100 42640130 85280260 106600325 213200650 426401300