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41213200 = 2452741359
BaseRepresentation
bin1001110100110…
…1110100010000
32212112211212211
42131031310100
541022310300
64031201504
71010210050
oct235156420
985484784
1041213200
112129a0a6
1211976294
1386ccb12
14568b560
1539414ba
hex274dd10

41213200 has 120 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 13747200.

The previous prime is 41213191. The next prime is 41213203. The reversal of 41213200 is 231214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213203) 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, 114621 + ... + 114979.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 241213200 is an apocalyptic number.

41213200 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 41213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

41213200 is an abundant number, since it is smaller than the sum of its proper divisors (75029360).

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

41213200 is a wasteful number, since it uses less digits than its factorization.

41213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 41213200 is about 6419.7507739787. The cubic root of 41213200 is about 345.4183820114.

Adding to 41213200 its reverse (231214), we get a palindrome (41444414).

The spelling of 41213200 in words is "forty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 359 400 410 560 574 656 700 718 820 1025 1148 1400 1435 1436 1640 1795 2050 2296 2513 2800 2870 2872 3280 3590 4100 4592 5026 5740 5744 7175 7180 8200 8975 10052 11480 12565 14350 14360 14719 16400 17950 20104 22960 25130 28700 28720 29438 35900 40208 50260 57400 58876 62825 71800 73595 100520 103033 114800 117752 125650 143600 147190 201040 206066 235504 251300 294380 367975 412132 502600 515165 588760 735950 824264 1005200 1030330 1177520 1471900 1648528 2060660 2575825 2943800 4121320 5151650 5887600 8242640 10303300 20606600 41213200