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426288 = 24383107
BaseRepresentation
bin1101000000100110000
3210122202110
41220010300
5102120123
613045320
73423552
oct1500460
9718673
10426288
11271305
12186840
1311c055
14b14d2
1586493
hex68130

426288 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 139072.

The previous prime is 426287. The next prime is 426301. The reversal of 426288 is 882624.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (426287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931 + ... + 4037.

2426288 is an apocalyptic number.

426288 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 426288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

426288 is an abundant number, since it is smaller than the sum of its proper divisors (698640).

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

426288 is a wasteful number, since it uses less digits than its factorization.

426288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 426288 is about 652.9073441155. The cubic root of 426288 is about 75.2606045327.

The spelling of 426288 in words is "four hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 107 166 214 249 321 332 428 498 642 664 856 996 1284 1328 1712 1992 2568 3984 5136 8881 17762 26643 35524 53286 71048 106572 142096 213144 426288