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45705780 = 22325318191
BaseRepresentation
bin1010111001011…
…0101000110100
310012000002112200
42232112220310
543200041110
64311344500
71063331001
oct256265064
9105002480
1045705780
112388847a
1213382130
139613953
1460da8a8
15402c6c0
hex2b96a34

45705780 has 72 divisors (see below), whose sum is σ = 143130624. Its totient is φ = 11793600.

The previous prime is 45705739. The next prime is 45705817. The reversal of 45705780 is 8750754.

45705780 is a `hidden beast` number, since 4 + 570 + 5 + 7 + 80 = 666.

45705780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1485 + ... + 9675.

Almost surely, 245705780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45705780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71565312).

45705780 is an abundant number, since it is smaller than the sum of its proper divisors (97424844).

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

45705780 is a wasteful number, since it uses less digits than its factorization.

45705780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 45705780 is about 6760.6050025127. The cubic root of 45705780 is about 357.5392364062.

The spelling of 45705780 in words is "forty-five million, seven hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 8191 16382 24573 32764 40955 49146 73719 81910 98292 122865 147438 163820 245730 253921 294876 368595 491460 507842 737190 761763 1015684 1269605 1474380 1523526 2285289 2539210 3047052 3808815 4570578 5078420 7617630 9141156 11426445 15235260 22852890 45705780