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41228000 = 255311937
BaseRepresentation
bin1001110101000…
…1011011100000
32212120121011222
42131101123200
541023244000
64031354212
71010301152
oct235213340
985517158
1041228000
11212aa230
1211982968
138706788
145692ad2
153945a85
hex27516e0

41228000 has 96 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 14976000.

The previous prime is 41227997. The next prime is 41228021. The reversal of 41228000 is 82214.

It is a self number, because there is not a number n which added to its sum of digits gives 41228000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43532 + ... + 44468.

It is an arithmetic number, because the mean of its divisors is an integer number (1152333).

Almost surely, 241228000 is an apocalyptic number.

41228000 is a gapful number since it is divisible by the number (40) 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 41228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311984).

41228000 is an abundant number, since it is smaller than the sum of its proper divisors (69395968).

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

41228000 is a wasteful number, since it uses less digits than its factorization.

41228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41228000 is about 6420.9033632348. The cubic root of 41228000 is about 345.4597245929.

The spelling of 41228000 in words is "forty-one million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 937 1000 1100 1375 1760 1874 2000 2200 2750 3748 4000 4400 4685 5500 7496 8800 9370 10307 11000 14992 18740 20614 22000 23425 29984 37480 41228 44000 46850 51535 74960 82456 93700 103070 117125 149920 164912 187400 206140 234250 257675 329824 374800 412280 468500 515350 749600 824560 937000 1030700 1288375 1649120 1874000 2061400 2576750 3748000 4122800 5153500 8245600 10307000 20614000 41228000