Search a number
-
+
53044224 = 210331557
BaseRepresentation
bin1100101001011…
…0010000000000
310200210220222220
43022112100000
5102034403344
65132531040
71212603612
oct312262000
9120726886
1053044224
1127a3aa02
1215920a80
13acb2c1c
14708adb2
1549cbc19
hex3296400

53044224 has 88 divisors (see below), whose sum is σ = 146204928. Its totient is φ = 17080320.

The previous prime is 53044223. The next prime is 53044237. The reversal of 53044224 is 42244035.

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

It is a junction number, because it is equal to n+sod(n) for n = 53044194 and 53044203.

It is not an unprimeable number, because it can be changed into a prime (53044223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94954 + ... + 95510.

Almost surely, 253044224 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 53044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102464).

53044224 is an abundant number, since it is smaller than the sum of its proper divisors (93160704).

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

53044224 is a wasteful number, since it uses less digits than its factorization.

53044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 53044224 is about 7283.1465727390. The cubic root of 53044224 is about 375.7330230943.

Adding to 53044224 its reverse (42244035), we get a palindrome (95288259).

The spelling of 53044224 in words is "fifty-three million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 557 744 768 992 1024 1114 1488 1536 1671 1984 2228 2976 3072 3342 3968 4456 5952 6684 7936 8912 11904 13368 15872 17267 17824 23808 26736 31744 34534 35648 47616 51801 53472 69068 71296 95232 103602 106944 138136 142592 207204 213888 276272 285184 414408 427776 552544 570368 828816 855552 1105088 1657632 1711104 2210176 3315264 4420352 6630528 8840704 13261056 17681408 26522112 53044224