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41440900 = 225217191283
BaseRepresentation
bin1001111000010…
…1011010000100
32212222102020011
42132011122010
541102102100
64040120004
71012145644
oct236053204
985872204
1041440900
1121435186
1211a66004
13877c657
14570a524
153988bba
hex2785684

41440900 has 72 divisors (see below), whose sum is σ = 100306080. Its totient is φ = 14768640.

The previous prime is 41440837. The next prime is 41440901. The reversal of 41440900 is 904414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41440901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31659 + ... + 32941.

It is an arithmetic number, because the mean of its divisors is an integer number (1393140).

Almost surely, 241440900 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 41440900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50153040).

41440900 is an abundant number, since it is smaller than the sum of its proper divisors (58865180).

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

41440900 is a wasteful number, since it uses less digits than its factorization.

41440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 41440900 is about 6437.4606794916. The cubic root of 41440900 is about 346.0533513908.

It can be divided in two parts, 414 and 40900, that added together give a palindrome (41314).

The spelling of 41440900 in words is "forty-one million, four hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1283 1292 1615 1700 1900 2566 3230 5132 6415 6460 8075 12830 16150 21811 24377 25660 32075 32300 43622 48754 64150 87244 97508 109055 121885 128300 218110 243770 414409 436220 487540 545275 609425 828818 1090550 1218850 1657636 2072045 2181100 2437700 4144090 8288180 10360225 20720450 41440900