Search a number
-
+
52299936 = 25321361229
BaseRepresentation
bin1100011110000…
…0100010100000
310122102010000200
43013200202200
5101342044221
65104545200
71203353643
oct307404240
9118363020
1052299936
1127581797
1215622200
13aab2210
146d35a5a
1548d1426
hex31e08a0

52299936 has 144 divisors (see below), whose sum is σ = 163505160. Its totient is φ = 15759360.

The previous prime is 52299899. The next prime is 52299941. The reversal of 52299936 is 63999225.

52299936 is a `hidden beast` number, since 522 + 9 + 99 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 18147600 = 5844^2 + 4260^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 52299891 and 52299900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228270 + ... + 228498.

Almost surely, 252299936 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 52299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81752580).

52299936 is an abundant number, since it is smaller than the sum of its proper divisors (111205224).

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

52299936 is a wasteful number, since it uses less digits than its factorization.

52299936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 52299936 is about 7231.8694678485. The cubic root of 52299936 is about 373.9673777870.

It can be divided in two parts, 52299 and 936, that added together give a palindrome (53235).

The spelling of 52299936 in words is "fifty-two million, two hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 229 234 244 288 312 366 416 458 468 488 549 624 687 732 793 916 936 976 1098 1248 1374 1464 1586 1832 1872 1952 2061 2196 2379 2748 2928 2977 3172 3664 3744 4122 4392 4758 5496 5856 5954 6344 7137 7328 8244 8784 8931 9516 10992 11908 12688 13969 14274 16488 17568 17862 19032 21984 23816 25376 26793 27938 28548 32976 35724 38064 41907 47632 53586 55876 57096 65952 71448 76128 83814 95264 107172 111752 114192 125721 142896 167628 181597 214344 223504 228384 251442 285792 335256 363194 428688 447008 502884 544791 670512 726388 857376 1005768 1089582 1341024 1452776 1634373 2011536 2179164 2905552 3268746 4023072 4358328 5811104 6537492 8716656 13074984 17433312 26149968 52299936