Search a number
-
+
53713152 = 283319409
BaseRepresentation
bin1100110011100…
…1100100000000
310202001220121000
43030321210000
5102222310102
65155132000
71221361053
oct314714400
9122056530
1053713152
1128357539
1215ba4000
13b18853c
1471c2a9a
154ab001c
hex3339900

53713152 has 144 divisors (see below), whose sum is σ = 167608000. Its totient is φ = 16920576.

The previous prime is 53713147. The next prime is 53713189. The reversal of 53713152 is 25131735.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131124 + ... + 131532.

Almost surely, 253713152 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 53713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83804000).

53713152 is an abundant number, since it is smaller than the sum of its proper divisors (113894848).

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

53713152 is a wasteful number, since it uses less digits than its factorization.

53713152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 53713152 is about 7328.9257057225. The cubic root of 53713152 is about 377.3058563429.

Adding to 53713152 its reverse (25131735), we get a palindrome (78844887).

It can be divided in two parts, 537 and 13152, that added together give a square (13689 = 1172).

The spelling of 53713152 in words is "fifty-three million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 409 432 456 513 576 608 684 768 818 864 912 1026 1152 1216 1227 1368 1636 1728 1824 2052 2304 2432 2454 2736 3272 3456 3648 3681 4104 4864 4908 5472 6544 6912 7296 7362 7771 8208 9816 10944 11043 13088 14592 14724 15542 16416 19632 21888 22086 23313 26176 29448 31084 32832 39264 43776 44172 46626 52352 58896 62168 65664 69939 78528 88344 93252 104704 117792 124336 131328 139878 157056 176688 186504 209817 235584 248672 279756 314112 353376 373008 419634 471168 497344 559512 706752 746016 839268 942336 994688 1119024 1413504 1492032 1678536 1989376 2238048 2827008 2984064 3357072 4476096 5968128 6714144 8952192 13428288 17904384 26856576 53713152