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42389200 = 2452715139
BaseRepresentation
bin1010000110110…
…0111011010000
32221202121001101
42201230323100
541322423300
64112314144
71023205450
oct241547320
987677041
1042389200
1121a226a7
1212242954
138a22189
1458b5d60
153ac4b6a
hex286ced0

42389200 has 60 divisors (see below), whose sum is σ = 116396320. Its totient is φ = 14532480.

The previous prime is 42389153. The next prime is 42389219. The reversal of 42389200 is 298324.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4770 + ... + 10369.

Almost surely, 242389200 is an apocalyptic number.

42389200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42389200 is an abundant number, since it is smaller than the sum of its proper divisors (74007120).

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

42389200 is a wasteful number, since it uses less digits than its factorization.

42389200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15164 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42389200 is about 6510.6988872163. The cubic root of 42389200 is about 348.6730709075.

The spelling of 42389200 in words is "forty-two million, three hundred eighty-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 15139 30278 60556 75695 105973 121112 151390 211946 242224 302780 378475 423892 529865 605560 756950 847784 1059730 1211120 1513900 1695568 2119460 2649325 3027800 4238920 5298650 6055600 8477840 10597300 21194600 42389200