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55225856 = 29719811
BaseRepresentation
bin1101001010101…
…0111000000000
310211220202122002
43102222320000
5103114211411
65251403132
71240261220
oct322527000
9124822562
1055225856
11291a0004
12165b34a8
13b597c2a
147498080
154cad33b
hex34aae00

55225856 has 80 divisors (see below), whose sum is σ = 132908160. Its totient is φ = 22394880.

The previous prime is 55225847. The next prime is 55225861. The reversal of 55225856 is 65852255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67691 + ... + 68501.

It is an arithmetic number, because the mean of its divisors is an integer number (1661352).

Almost surely, 255225856 is an apocalyptic number.

55225856 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 55225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66454080).

55225856 is an abundant number, since it is smaller than the sum of its proper divisors (77682304).

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

55225856 is an equidigital number, since it uses as much as digits as its factorization.

55225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its digits is 120000, while the sum is 38.

The square root of 55225856 is about 7431.4100949954. The cubic root of 55225856 is about 380.8150924979.

The spelling of 55225856 in words is "fifty-five million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 811 896 1064 1216 1622 1792 2128 2432 3244 3584 4256 4864 5677 6488 8512 9728 11354 12976 15409 17024 22708 25952 30818 34048 45416 51904 61636 68096 90832 103808 107863 123272 181664 207616 215726 246544 363328 415232 431452 493088 726656 862904 986176 1453312 1725808 1972352 2906624 3451616 3944704 6903232 7889408 13806464 27612928 55225856