Search a number
-
+
52752384 = 2123553
BaseRepresentation
bin1100100100111…
…1000000000000
310200021002200000
43021033000000
5102001034014
65122400000
71210250016
oct311170000
9120232600
1052752384
1127860713
1215800000
13ac10139
1470128b6
154970509
hex324f000

52752384 has 156 divisors (see below), whose sum is σ = 161002296. Its totient is φ = 17252352.

The previous prime is 52752299. The next prime is 52752389. The reversal of 52752384 is 48325725.

52752384 is a `hidden beast` number, since 5 + 275 + 2 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52752389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995302 + ... + 995354.

It is an arithmetic number, because the mean of its divisors is an integer number (1032066).

Almost surely, 252752384 is an apocalyptic number.

52752384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80501148).

52752384 is an abundant number, since it is smaller than the sum of its proper divisors (108249912).

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

52752384 is an frugal number, since it uses more digits than its factorization.

52752384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 52752384 is about 7263.0836426411. The cubic root of 52752384 is about 375.0426831415.

The spelling of 52752384 in words is "fifty-two million, seven hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 243 256 288 318 324 384 424 432 477 486 512 576 636 648 768 848 864 954 972 1024 1152 1272 1296 1431 1536 1696 1728 1908 1944 2048 2304 2544 2592 2862 3072 3392 3456 3816 3888 4096 4293 4608 5088 5184 5724 6144 6784 6912 7632 7776 8586 9216 10176 10368 11448 12288 12879 13568 13824 15264 15552 17172 18432 20352 20736 22896 25758 27136 27648 30528 31104 34344 36864 40704 41472 45792 51516 54272 55296 61056 62208 68688 81408 82944 91584 103032 108544 110592 122112 124416 137376 162816 165888 183168 206064 217088 244224 248832 274752 325632 331776 366336 412128 488448 497664 549504 651264 732672 824256 976896 995328 1099008 1465344 1648512 1953792 2198016 2930688 3297024 4396032 5861376 6594048 8792064 13188096 17584128 26376192 52752384