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42237300 = 22352720113
BaseRepresentation
bin1010000100011…
…1110101110100
32221110212200110
42201013311310
541303043200
64105143020
71022003550
oct241076564
987425613
1042237300
1121929566
121218aa70
13899acb1
145876860
153a94b50
hex2847d74

42237300 has 72 divisors (see below), whose sum is σ = 139671616. Its totient is φ = 9653760.

The previous prime is 42237263. The next prime is 42237301. The reversal of 42237300 is 373224.

It is a happy number.

42237300 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 2×422373002 = 3567979022580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42237301) 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, 7957 + ... + 12156.

Almost surely, 242237300 is an apocalyptic number.

It is an amenable number.

42237300 is an abundant number, since it is smaller than the sum of its proper divisors (97434316).

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

42237300 is a wasteful number, since it uses less digits than its factorization.

42237300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20137 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 42237300 is about 6499.0230034983. The cubic root of 42237300 is about 348.2560871016.

The spelling of 42237300 in words is "forty-two million, two hundred thirty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 20113 40226 60339 80452 100565 120678 140791 201130 241356 281582 301695 402260 422373 502825 563164 603390 703955 844746 1005650 1206780 1407910 1508475 1689492 2011300 2111865 2815820 3016950 3519775 4223730 6033900 7039550 8447460 10559325 14079100 21118650 42237300