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42241400 = 2352297283
BaseRepresentation
bin1010000100100…
…0110101111000
32221111002022022
42201020311320
541303211100
64105214012
71022021525
oct241106570
987432268
1042241400
1121931653
1212191308
13899cb16
14587814c
153a95e85
hex2848d78

42241400 has 48 divisors (see below), whose sum is σ = 101611800. Its totient is φ = 16311680.

The previous prime is 42241399. The next prime is 42241403. The reversal of 42241400 is 414224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241403) 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 11 ways as a sum of consecutive naturals, for example, 2159 + ... + 9441.

Almost surely, 242241400 is an apocalyptic number.

42241400 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 42241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50805900).

42241400 is an abundant number, since it is smaller than the sum of its proper divisors (59370400).

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

42241400 is a wasteful number, since it uses less digits than its factorization.

42241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42241400 is about 6499.3384278709. The cubic root of 42241400 is about 348.2673552126.

Adding to 42241400 its reverse (414224), we get a palindrome (42655624).

The spelling of 42241400 in words is "forty-two million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 7283 14566 29132 36415 58264 72830 145660 182075 211207 291320 364150 422414 728300 844828 1056035 1456600 1689656 2112070 4224140 5280175 8448280 10560350 21120700 42241400