Search a number
-
+
59026401 = 36743269
BaseRepresentation
bin1110000100101…
…0101111100001
311010001212000000
43201022233201
5110102321101
65505050213
71314500430
oct341125741
9133055000
1059026401
1130356455
1217926969
13c2c8a85
147ba7117
1552ae486
hex384abe1

59026401 has 56 divisors (see below), whose sum is σ = 103878720. Its totient is φ = 32822496.

The previous prime is 59026399. The next prime is 59026403. The reversal of 59026401 is 10462095.

59026401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59026399) and next prime (59026403).

It is not a de Polignac number, because 59026401 - 21 = 59026399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (59026403) 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 55 ways as a sum of consecutive naturals, for example, 219295 + ... + 219563.

Almost surely, 259026401 is an apocalyptic number.

It is an amenable number.

59026401 is a deficient number, since it is larger than the sum of its proper divisors (44852319).

59026401 is an equidigital number, since it uses as much as digits as its factorization.

59026401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 59026401 is about 7682.8641143782. The cubic root of 59026401 is about 389.3577001590.

Adding to 59026401 its reverse (10462095), we get a palindrome (69488496).

The spelling of 59026401 in words is "fifty-nine million, twenty-six thousand, four hundred one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 243 269 301 387 567 729 807 903 1161 1701 1883 2421 2709 3483 5103 5649 7263 8127 10449 11567 16947 21789 24381 31347 34701 50841 65367 73143 80969 104103 152523 196101 219429 242907 312309 457569 728721 936927 1372707 2186163 2810781 6558489 8432343 19675467 59026401