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53401326 = 23111018011
BaseRepresentation
bin1100101110110…
…1011011101110
310201111001211220
43023231123232
5102132320301
65144324210
71215621666
oct313553356
9121431756
1053401326
1128164230
1215a73666
13b0a9624
1471411a6
154a4c936
hex32ed6ee

53401326 has 32 divisors (see below), whose sum is σ = 117680256. Its totient is φ = 16020000.

The previous prime is 53401321. The next prime is 53401333. The reversal of 53401326 is 62310435.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53401296 and 53401305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53401321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 10671.

It is an arithmetic number, because the mean of its divisors is an integer number (3677508).

Almost surely, 253401326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53401326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58840128).

53401326 is an abundant number, since it is smaller than the sum of its proper divisors (64278930).

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

53401326 is a wasteful number, since it uses less digits than its factorization.

53401326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53401326 is about 7307.6210903412. The cubic root of 53401326 is about 376.5743024979.

It can be divided in two parts, 5340 and 1326, that added together give a palindrome (6666).

The spelling of 53401326 in words is "fifty-three million, four hundred one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 8011 16022 24033 48066 88121 176242 264363 528726 809111 1618222 2427333 4854666 8900221 17800442 26700663 53401326