Search a number
-
+
53504264 = 23112311783
BaseRepresentation
bin1100110000011…
…0100100001000
310201200022001102
43030012210020
5102144114024
65150440532
71216531052
oct314064410
9121608042
1053504264
1128224600
1215b03148
13b114438
14716a8d2
154a6d1ae
hex3306908

53504264 has 48 divisors (see below), whose sum is σ = 113890560. Its totient is φ = 23522400.

The previous prime is 53504201. The next prime is 53504309. The reversal of 53504264 is 46240535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29117 + ... + 30899.

It is an arithmetic number, because the mean of its divisors is an integer number (2372720).

Almost surely, 253504264 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 53504264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56945280).

53504264 is an abundant number, since it is smaller than the sum of its proper divisors (60386296).

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

53504264 is a wasteful number, since it uses less digits than its factorization.

53504264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 53504264 is about 7314.6608943956. The cubic root of 53504264 is about 376.8161125032.

Adding to 53504264 its reverse (46240535), we get a palindrome (99744799).

The spelling of 53504264 in words is "fifty-three million, five hundred four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 1783 2728 3566 3751 7132 7502 14264 15004 19613 30008 39226 55273 78452 110546 156904 215743 221092 431486 442184 608003 862972 1216006 1725944 2432012 4864024 6688033 13376066 26752132 53504264