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45728550 = 2345271613
BaseRepresentation
bin1010111001110…
…0001100100110
310012001020210000
42232130030212
543201303200
64312042130
71063454250
oct256341446
9105036700
1045728550
11238a359a
1213393346
13962111a
146104cd0
154034300
hex2b9c326

45728550 has 120 divisors (see below), whose sum is σ = 145298736. Its totient is φ = 10445760.

The previous prime is 45728533. The next prime is 45728561. The reversal of 45728550 is 5582754.

It is a happy number.

45728550 is a `hidden beast` number, since 4 + 572 + 85 + 5 + 0 = 666.

45728550 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 2×457285502 = 4182200570205000, 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 59 ways as a sum of consecutive naturals, for example, 27544 + ... + 29156.

Almost surely, 245728550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45728550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72649368).

45728550 is an abundant number, since it is smaller than the sum of its proper divisors (99570186).

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

45728550 is a wasteful number, since it uses less digits than its factorization.

45728550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 45728550 is about 6762.2888137080. The cubic root of 45728550 is about 357.5986002828.

The spelling of 45728550 in words is "forty-five million, seven hundred twenty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1613 1890 2025 2835 3150 3226 4050 4725 4839 5670 8065 9450 9678 11291 14175 14517 16130 22582 24195 28350 29034 33873 40325 43551 48390 56455 67746 72585 80650 87102 101619 112910 120975 130653 145170 169365 203238 217755 241950 261306 282275 304857 338730 362925 435510 508095 564550 609714 653265 725850 846825 914571 1016190 1088775 1306530 1524285 1693650 1829142 2177550 2540475 3048570 3266325 4572855 5080950 6532650 7621425 9145710 15242850 22864275 45728550