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55256300 = 225211191263
BaseRepresentation
bin1101001011001…
…0010011101100
310211222022101122
43102302103230
5103121200200
65252200112
71240446041
oct322622354
9124868348
1055256300
1129210970
1216609038
13b5a8a48
1474a51c8
154cb7385
hex34b24ec

55256300 has 72 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 19912000.

The previous prime is 55256293. The next prime is 55256317. The reversal of 55256300 is 365255.

55256300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55256300.

It is an unprimeable number.

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, 209969 + ... + 210231.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 255256300 is an apocalyptic number.

55256300 is a gapful number since it is divisible by the number (50) 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 55256300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

55256300 is an abundant number, since it is smaller than the sum of its proper divisors (76735252).

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

55256300 is a wasteful number, since it uses less digits than its factorization.

55256300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 55256300 is about 7433.4581454394. The cubic root of 55256300 is about 380.8850561333.

The spelling of 55256300 in words is "fifty-five million, two hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 191 220 263 275 382 526 550 764 955 1052 1100 1315 1910 2101 2630 2893 3820 4202 4775 5260 5786 6575 8404 9550 10505 11572 13150 14465 19100 21010 26300 28930 42020 50233 52525 57860 72325 100466 105050 144650 200932 210100 251165 289300 502330 552563 1004660 1105126 1255825 2210252 2511650 2762815 5023300 5525630 11051260 13814075 27628150 55256300