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42450200 = 23521329563
BaseRepresentation
bin1010000111101…
…1110100011000
32221212200201122
42201323310120
541331401300
64113504412
71023551342
oct241736430
987780648
1042450200
1121a64511
1212272108
138a43b80
1458d0292
153ad7c85
hex287bd18

42450200 has 96 divisors (see below), whose sum is σ = 110149200. Its totient is φ = 15106560.

The previous prime is 42450197. The next prime is 42450209. The reversal of 42450200 is 205424.

42450200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42450209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75119 + ... + 75681.

Almost surely, 242450200 is an apocalyptic number.

42450200 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 42450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55074600).

42450200 is an abundant number, since it is smaller than the sum of its proper divisors (67699000).

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

42450200 is a wasteful number, since it uses less digits than its factorization.

42450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42450200 is about 6515.3818000176. The cubic root of 42450200 is about 348.8402429159.

Adding to 42450200 its reverse (205424), we get a palindrome (42655624).

The spelling of 42450200 in words is "forty-two million, four hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 563 580 650 725 754 1126 1160 1300 1450 1508 1885 2252 2600 2815 2900 3016 3770 4504 5630 5800 7319 7540 9425 11260 14075 14638 15080 16327 18850 22520 28150 29276 32654 36595 37700 56300 58552 65308 73190 75400 81635 112600 130616 146380 163270 182975 212251 292760 326540 365950 408175 424502 653080 731900 816350 849004 1061255 1463800 1632700 1698008 2122510 3265400 4245020 5306275 8490040 10612550 21225100 42450200