Search a number
-
+
53200968 = 23337181331
BaseRepresentation
bin1100101011110…
…0100001001000
310201002220000020
43022330201020
5102104412333
65140140440
71214125602
oct312744110
9121086006
1053200968
1128037747
1215997720
13b039382
1470cc172
154a0d3b3
hex32bc848

53200968 has 64 divisors (see below), whose sum is σ = 137766720. Its totient is φ = 17107200.

The previous prime is 53200963. The next prime is 53200997. The reversal of 53200968 is 86900235.

It is a happy number.

It is a super-2 number, since 2×532009682 = 5660685992274048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53200963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160563 + ... + 160893.

It is an arithmetic number, because the mean of its divisors is an integer number (2152605).

Almost surely, 253200968 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 53200968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68883360).

53200968 is an abundant number, since it is smaller than the sum of its proper divisors (84565752).

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

53200968 is a wasteful number, since it uses less digits than its factorization.

53200968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 53200968 is about 7293.8993686505. The cubic root of 53200968 is about 376.1027522104.

The spelling of 53200968 in words is "fifty-three million, two hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 181 222 296 331 362 444 543 662 724 888 993 1086 1324 1448 1986 2172 2648 3972 4344 6697 7944 12247 13394 20091 24494 26788 36741 40182 48988 53576 59911 73482 80364 97976 119822 146964 160728 179733 239644 293928 359466 479288 718932 1437864 2216707 4433414 6650121 8866828 13300242 17733656 26600484 53200968