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55000240 = 24529151157
BaseRepresentation
bin1101000111001…
…1110010110000
310211111022010221
43101303302300
5103040001430
65242502424
71235331361
oct321636260
9124438127
1055000240
1129056549
1216504a14
13b519329
147439b68
154c6657a
hex3473cb0

55000240 has 80 divisors (see below), whose sum is σ = 134009280. Its totient is φ = 20966400.

The previous prime is 55000207. The next prime is 55000243. The reversal of 55000240 is 4200055.

It is a happy number.

55000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (55000243) 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 15 ways as a sum of consecutive naturals, for example, 350242 + ... + 350398.

It is an arithmetic number, because the mean of its divisors is an integer number (1675116).

Almost surely, 255000240 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 55000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67004640).

55000240 is an abundant number, since it is smaller than the sum of its proper divisors (79009040).

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

55000240 is a wasteful number, since it uses less digits than its factorization.

55000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 55000240 is about 7416.2146678747. The cubic root of 55000240 is about 380.2957992321.

Adding to 55000240 its reverse (4200055), we get a palindrome (59200295).

The spelling of 55000240 in words is "fifty-five million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 151 157 232 290 302 314 464 580 604 628 755 785 1160 1208 1256 1510 1570 2320 2416 2512 3020 3140 4379 4553 6040 6280 8758 9106 12080 12560 17516 18212 21895 22765 23707 35032 36424 43790 45530 47414 70064 72848 87580 91060 94828 118535 175160 182120 189656 237070 350320 364240 379312 474140 687503 948280 1375006 1896560 2750012 3437515 5500024 6875030 11000048 13750060 27500120 55000240