Search a number
-
+
52226304 = 283135231
BaseRepresentation
bin1100011100111…
…0100100000000
310122021101000120
43013032210000
5101332220204
65103220240
71202626164
oct307164400
9118241016
1052226304
1127531439
12155a7680
13aa87850
146d16ca4
1548b96d9
hex31ce900

52226304 has 72 divisors (see below), whose sum is σ = 149718912. Its totient is φ = 16066560.

The previous prime is 52226281. The next prime is 52226311. The reversal of 52226304 is 40362225.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7369 + ... + 12599.

Almost surely, 252226304 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 52226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74859456).

52226304 is an abundant number, since it is smaller than the sum of its proper divisors (97492608).

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

52226304 is a wasteful number, since it uses less digits than its factorization.

52226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 52226304 is about 7226.7768749284. The cubic root of 52226304 is about 373.7917950449.

Adding to 52226304 its reverse (40362225), we get a palindrome (92588529).

The spelling of 52226304 in words is "fifty-two million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5231 9984 10462 15693 20924 31386 41848 62772 68003 83696 125544 136006 167392 204009 251088 272012 334784 408018 502176 544024 669568 816036 1004352 1088048 1339136 1632072 2008704 2176096 3264144 4017408 4352192 6528288 8704384 13056576 17408768 26113152 52226304