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41024900 = 22527103569
BaseRepresentation
bin1001110001111…
…1110110000100
32212012021120202
42130133312010
541000244100
64023150032
71005464060
oct234376604
985167522
1041024900
1121180684
12118a5318
1386651b7
14563caa0
1539057d5
hex271fd84

41024900 has 72 divisors (see below), whose sum is σ = 102910080. Its totient is φ = 13904640.

The previous prime is 41024869. The next prime is 41024903. The reversal of 41024900 is 942014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41024903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71816 + ... + 72384.

Almost surely, 241024900 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 41024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51455040).

41024900 is an abundant number, since it is smaller than the sum of its proper divisors (61885180).

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

41024900 is a wasteful number, since it uses less digits than its factorization.

41024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 41024900 is about 6405.0683056467. The cubic root of 41024900 is about 344.8915152851.

Adding to 41024900 its reverse (942014), we get a palindrome (41966914).

The spelling of 41024900 in words is "forty-one million, twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 569 700 721 1030 1138 1442 2060 2276 2575 2845 2884 3605 3983 5150 5690 7210 7966 10300 11380 14225 14420 15932 18025 19915 28450 36050 39830 56900 58607 72100 79660 99575 117214 199150 234428 293035 398300 410249 586070 820498 1172140 1465175 1640996 2051245 2930350 4102490 5860700 8204980 10256225 20512450 41024900