Search a number
-
+
53663472 = 243447881
BaseRepresentation
bin1100110010110…
…1011011110000
310201222101110000
43030231123300
5102214212342
65154110000
71221063162
oct314553360
9121871400
1053663472
1128323185
1215b7b300
13b16ba45
1471ac932
154aa044c
hex332d6f0

53663472 has 100 divisors (see below), whose sum is σ = 158802336. Its totient is φ = 17487360.

The previous prime is 53663453. The next prime is 53663473. The reversal of 53663472 is 27436635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53663473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60472 + ... + 61352.

Almost surely, 253663472 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 53663472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401168).

53663472 is an abundant number, since it is smaller than the sum of its proper divisors (105138864).

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

53663472 is a wasteful number, since it uses less digits than its factorization.

53663472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 53663472 is about 7325.5356118171. The cubic root of 53663472 is about 377.1894954130.

The spelling of 53663472 in words is "fifty-three million, six hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 881 1128 1269 1296 1692 1762 2256 2538 2643 3384 3524 3807 5076 5286 6768 7048 7614 7929 10152 10572 14096 15228 15858 20304 21144 23787 30456 31716 41407 42288 47574 60912 63432 71361 82814 95148 124221 126864 142722 165628 190296 248442 285444 331256 372663 380592 496884 570888 662512 745326 993768 1117989 1141776 1490652 1987536 2235978 2981304 3353967 4471956 5962608 6707934 8943912 13415868 17887824 26831736 53663472