Search a number
-
+
52400214 = 232193741101
BaseRepresentation
bin1100011111100…
…1000001010110
310122121012120200
43013321001112
5101403301324
65111041330
71204252206
oct307710126
9118535520
1052400214
1127640069
1215670246
13ab18a59
146d60406
154900ec9
hex31f9056

52400214 has 96 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 15552000.

The previous prime is 52400213. The next prime is 52400219. The reversal of 52400214 is 41200425.

52400214 is a `hidden beast` number, since 52 + 400 + 214 = 666.

52400214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52400213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518764 + ... + 518864.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 252400214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52400214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

52400214 is an abundant number, since it is smaller than the sum of its proper divisors (74577546).

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

52400214 is a wasteful number, since it uses less digits than its factorization.

52400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52400214 is about 7238.7992098137. The cubic root of 52400214 is about 374.2062356874.

Adding to 52400214 its reverse (41200425), we get a palindrome (93600639).

The spelling of 52400214 in words is "fifty-two million, four hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 37 38 41 57 74 82 101 111 114 123 171 202 222 246 303 333 342 369 606 666 703 738 779 909 1406 1517 1558 1818 1919 2109 2337 3034 3737 3838 4141 4218 4551 4674 5757 6327 7011 7474 8282 9102 11211 11514 12423 12654 13653 14022 17271 22422 24846 27306 28823 33633 34542 37269 57646 67266 71003 74538 78679 86469 142006 153217 157358 172938 213009 236037 259407 306434 426018 459651 472074 518814 639027 708111 919302 1278054 1378953 1416222 2757906 2911123 5822246 8733369 17466738 26200107 52400214