Search a number
-
+
55278216 = 23327671637
BaseRepresentation
bin1101001011011…
…1101010001000
310212000102110100
43102313222020
5103122400331
65252445400
71240566660
oct322675210
9125012410
1055278216
1129226384
1216619860
13b5b5a06
1474ad1a0
154cbdae6
hex34b7a88

55278216 has 96 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 15548544.

The previous prime is 55278211. The next prime is 55278241. The reversal of 55278216 is 61287255.

It is a happy number.

55278216 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 (36).

It is not an unprimeable number, because it can be changed into a prime (55278211) 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 23 ways as a sum of consecutive naturals, for example, 32950 + ... + 34586.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 255278216 is an apocalyptic number.

55278216 is a gapful number since it is divisible by the number (56) 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 55278216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

55278216 is an abundant number, since it is smaller than the sum of its proper divisors (118480824).

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

55278216 is a wasteful number, since it uses less digits than its factorization.

55278216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 55278216 is about 7434.9321449493. The cubic root of 55278216 is about 380.9354055868.

The spelling of 55278216 in words is "fifty-five million, two hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1637 1876 2412 2814 3274 3752 4221 4824 4911 5628 6548 8442 9822 11256 11459 13096 14733 16884 19644 22918 29466 33768 34377 39288 45836 58932 68754 91672 103131 109679 117864 137508 206262 219358 275016 329037 412524 438716 658074 767753 825048 877432 987111 1316148 1535506 1974222 2303259 2632296 3071012 3948444 4606518 6142024 6909777 7896888 9213036 13819554 18426072 27639108 55278216