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42402200 = 2352415171
BaseRepresentation
bin1010000111000…
…0000110011000
32221210020212212
42201300012120
541323332300
64112454252
71023261401
oct241600630
987706785
1042402200
1121a31445
121224a388
138a28079
1458ba9a8
153ac8935
hex2870198

42402200 has 48 divisors (see below), whose sum is σ = 101009160. Its totient is φ = 16544000.

The previous prime is 42402193. The next prime is 42402209. The reversal of 42402200 is 220424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5615 + ... + 10785.

Almost surely, 242402200 is an apocalyptic number.

42402200 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 42402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50504580).

42402200 is an abundant number, since it is smaller than the sum of its proper divisors (58606960).

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

42402200 is a wasteful number, since it uses less digits than its factorization.

42402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42402200 is about 6511.6971674057. The cubic root of 42402200 is about 348.7087111699.

Adding to 42402200 its reverse (220424), we get a palindrome (42622624).

The spelling of 42402200 in words is "forty-two million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 5171 8200 10342 20684 25855 41368 51710 103420 129275 206840 212011 258550 424022 517100 848044 1034200 1060055 1696088 2120110 4240220 5300275 8480440 10600550 21201100 42402200