Search a number
-
+
55213312 = 287112801
BaseRepresentation
bin1101001010011…
…1110100000000
310211220010102111
43102213310000
5103113311222
65251225104
71240206520
oct322476400
9124803374
1055213312
1129191640
12165a8194
13b5922cb
147493680
154ca9777
hex34a7d00

55213312 has 72 divisors (see below), whose sum is σ = 137454912. Its totient is φ = 21504000.

The previous prime is 55213267. The next prime is 55213313. The reversal of 55213312 is 21331255.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55213313) 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 7 ways as a sum of consecutive naturals, for example, 18312 + ... + 21112.

It is an arithmetic number, because the mean of its divisors is an integer number (1909096).

Almost surely, 255213312 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 55213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68727456).

55213312 is an abundant number, since it is smaller than the sum of its proper divisors (82241600).

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

55213312 is a wasteful number, since it uses less digits than its factorization.

55213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2821 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 55213312 is about 7430.5660618825. The cubic root of 55213312 is about 380.7862575367.

Adding to 55213312 its reverse (21331255), we get a palindrome (76544567).

The spelling of 55213312 in words is "fifty-five million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2801 2816 4928 5602 9856 11204 19607 19712 22408 30811 39214 44816 61622 78428 89632 123244 156856 179264 215677 246488 313712 358528 431354 492976 627424 717056 862708 985952 1254848 1725416 1971904 2509696 3450832 3943808 5019392 6901664 7887616 13803328 27606656 55213312