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45639750 = 23531331151
BaseRepresentation
bin1010111000011…
…0100001000110
310011212201222010
42232012201012
543140433000
64310115050
71062634332
oct256064106
9104781863
1045639750
1123842902
121334ba86
1395bc890
1460c07c2
154017d50
hex2b86846

45639750 has 128 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 10800000.

The previous prime is 45639701. The next prime is 45639787. The reversal of 45639750 is 5793654.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 45639699 and 45639708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302175 + ... + 302325.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 245639750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45639750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

45639750 is an abundant number, since it is smaller than the sum of its proper divisors (81835962).

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

45639750 is a wasteful number, since it uses less digits than its factorization.

45639750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 45639750 is about 6755.7197988075. The cubic root of 45639750 is about 357.3669774221.

The spelling of 45639750 in words is "forty-five million, six hundred thirty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 125 130 150 151 155 186 195 250 302 310 325 375 390 403 453 465 650 750 755 775 806 906 930 975 1209 1510 1550 1625 1950 1963 2015 2265 2325 2418 3250 3775 3875 3926 4030 4530 4650 4681 4875 5889 6045 7550 7750 9362 9750 9815 10075 11325 11625 11778 12090 14043 18875 19630 20150 22650 23250 23405 28086 29445 30225 37750 46810 49075 50375 56625 58890 60450 60853 70215 98150 100750 113250 117025 121706 140430 147225 151125 182559 234050 245375 294450 302250 304265 351075 365118 490750 585125 608530 702150 736125 912795 1170250 1472250 1521325 1755375 1825590 3042650 3510750 4563975 7606625 9127950 15213250 22819875 45639750