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426496 = 297217
BaseRepresentation
bin1101000001000000000
3210200001011
41220020000
5102121441
613050304
73424300
oct1501000
9720034
10426496
11271484
12186994
1311c185
14b1600
1586581
hex68200

426496 has 60 divisors (see below), whose sum is σ = 1049598. Its totient is φ = 172032.

The previous prime is 426487. The next prime is 426527. The reversal of 426496 is 694624.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 112896 = 560^2 + 336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25080 + ... + 25096.

2426496 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 426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524799).

426496 is an abundant number, since it is smaller than the sum of its proper divisors (623102).

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

426496 is an equidigital number, since it uses as much as digits as its factorization.

426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 26 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 426496 is about 653.0666122227. The cubic root of 426496 is about 75.2728432542.

The spelling of 426496 in words is "four hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1088 1568 1666 1792 1904 2176 3136 3332 3584 3808 4352 6272 6664 7616 8704 12544 13328 15232 25088 26656 30464 53312 60928 106624 213248 426496