Search a number
-
+
52464384 = 283273253
BaseRepresentation
bin1100100000100…
…0101100000000
310122201110121100
43020020230000
5101412330014
65112254400
71204640250
oct310105400
9118643540
1052464384
11276842a5
12156a1400
13ab3c01b
146d79960
154915009
hex3208b00

52464384 has 108 divisors (see below), whose sum is σ = 172930576. Its totient is φ = 14985216.

The previous prime is 52464353. The next prime is 52464407. The reversal of 52464384 is 48346425.

52464384 is a `hidden beast` number, since 5 + 2 + 4 + 643 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14502 + ... + 17754.

Almost surely, 252464384 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 52464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86465288).

52464384 is an abundant number, since it is smaller than the sum of its proper divisors (120466192).

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

52464384 is a wasteful number, since it uses less digits than its factorization.

52464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3265 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 52464384 is about 7243.2302186248. The cubic root of 52464384 is about 374.3589260223.

The spelling of 52464384 in words is "fifty-two million, four hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3253 4032 5376 6506 8064 9759 13012 16128 19518 22771 26024 29277 39036 45542 52048 58554 68313 78072 91084 104096 117108 136626 156144 182168 204939 208192 234216 273252 312288 364336 409878 416384 468432 546504 624576 728672 819756 832768 936864 1093008 1249152 1457344 1639512 1873728 2186016 2498304 2914688 3279024 3747456 4372032 5829376 6558048 7494912 8744064 13116096 17488128 26232192 52464384