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42321400 = 23521119237
BaseRepresentation
bin1010000101110…
…0010111111000
32221122011001021
42201130113320
541313241100
64111032224
71022504002
oct241342770
987564037
1042321400
1121986770
121220b674
1389ca364
145899372
153aaea1a
hex285c5f8

42321400 has 48 divisors (see below), whose sum is σ = 107348040. Its totient is φ = 15388800.

The previous prime is 42321397. The next prime is 42321413. The reversal of 42321400 is 412324.

42321400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423214002 = 3582201795920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7419 + ... + 11818.

Almost surely, 242321400 is an apocalyptic number.

42321400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42321400 is an abundant number, since it is smaller than the sum of its proper divisors (65026640).

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

42321400 is a wasteful number, since it uses less digits than its factorization.

42321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19264 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42321400 is about 6505.4899892322. The cubic root of 42321400 is about 348.4870750311.

Adding to 42321400 its reverse (412324), we get a palindrome (42733724).

The spelling of 42321400 in words is "forty-two million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19237 38474 76948 96185 153896 192370 211607 384740 423214 480925 769480 846428 961850 1058035 1692856 1923700 2116070 3847400 4232140 5290175 8464280 10580350 21160700 42321400