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42828750 = 2365447
BaseRepresentation
bin1010001101100…
…0001111001110
32222120221000000
42203120033032
541431010000
64125545130
71030016106
oct243301716
988527000
1042828750
11221a2968
12124151a6
138b47273
14598c206
153b60000
hex28d83ce

42828750 has 140 divisors (see below), whose sum is σ = 122923152. Its totient is φ = 11178000.

The previous prime is 42828733. The next prime is 42828767. The reversal of 42828750 is 5782824.

It is a happy number.

42828750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42828733) and next prime (42828767).

It is a Curzon number.

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 69 ways as a sum of consecutive naturals, for example, 911227 + ... + 911273.

Almost surely, 242828750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42828750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61461576).

42828750 is an abundant number, since it is smaller than the sum of its proper divisors (80094402).

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

42828750 is an frugal number, since it uses more digits than its factorization.

42828750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42828750 is about 6544.3678075120. The cubic root of 42828750 is about 349.8741043804.

The spelling of 42828750 in words is "forty-two million, eight hundred twenty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 81 90 94 125 135 141 150 162 225 235 243 250 270 282 375 405 423 450 470 486 625 675 705 729 750 810 846 1125 1175 1215 1250 1269 1350 1410 1458 1875 2025 2115 2250 2350 2430 2538 3375 3525 3645 3750 3807 4050 4230 5625 5875 6075 6345 6750 7050 7290 7614 10125 10575 11250 11421 11750 12150 12690 16875 17625 18225 19035 20250 21150 22842 29375 30375 31725 33750 34263 35250 36450 38070 50625 52875 57105 58750 60750 63450 68526 88125 91125 95175 101250 105750 114210 151875 158625 171315 176250 182250 190350 264375 285525 303750 317250 342630 455625 475875 528750 571050 793125 856575 911250 951750 1427625 1586250 1713150 2379375 2855250 4282875 4758750 7138125 8565750 14276250 21414375 42828750