Search a number
-
+
52152320 = 211511463
BaseRepresentation
bin1100011011110…
…0100000000000
310122010121112102
43012330200000
5101322333240
65101445532
71202200403
oct306744000
9118117472
1052152320
11274908a0
12155708a8
13aa5cc7c
146cd7d3a
1548a2815
hex31bc800

52152320 has 96 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 18923520.

The previous prime is 52152319. The next prime is 52152349. The reversal of 52152320 is 2325125.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52152292 and 52152301.

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, 112409 + ... + 112871.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 252152320 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 52152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

52152320 is an abundant number, since it is smaller than the sum of its proper divisors (84653440).

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

52152320 is a wasteful number, since it uses less digits than its factorization.

52152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 52152320 is about 7221.6563197095. The cubic root of 52152320 is about 373.6152066282.

Adding to 52152320 its reverse (2325125), we get a palindrome (54477445).

The spelling of 52152320 in words is "fifty-two million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 463 512 640 704 880 926 1024 1280 1408 1760 1852 2048 2315 2560 2816 3520 3704 4630 5093 5120 5632 7040 7408 9260 10186 10240 11264 14080 14816 18520 20372 22528 25465 28160 29632 37040 40744 50930 56320 59264 74080 81488 101860 112640 118528 148160 162976 203720 237056 296320 325952 407440 474112 592640 651904 814880 948224 1185280 1303808 1629760 2370560 2607616 3259520 4741120 5215232 6519040 10430464 13038080 26076160 52152320