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45811116 = 22331367487
BaseRepresentation
bin1010111011000…
…0010110101100
310012012110001000
42232300112230
543211423431
64313520300
71064250051
oct256602654
9105173030
1045811116
112394a62a
1213413090
13964c890
146127028
15404d9e6
hex2bb05ac

45811116 has 96 divisors (see below), whose sum is σ = 130081280. Its totient is φ = 13856832.

The previous prime is 45811111. The next prime is 45811121. The reversal of 45811116 is 61111854.

45811116 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 (45811111) and next prime (45811121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 45811116.

It is not an unprimeable number, because it can be changed into a prime (45811111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 93825 + ... + 94311.

Almost surely, 245811116 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 45811116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65040640).

45811116 is an abundant number, since it is smaller than the sum of its proper divisors (84270164).

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

45811116 is a wasteful number, since it uses less digits than its factorization.

45811116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 45811116 is about 6768.3909461555. The cubic root of 45811116 is about 357.8136937255.

The spelling of 45811116 in words is "forty-five million, eight hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 487 603 702 804 871 974 1206 1404 1461 1742 1809 1948 2412 2613 2922 3484 3618 4383 5226 5844 6331 7236 7839 8766 10452 12662 13149 15678 17532 18993 23517 25324 26298 31356 32629 37986 47034 52596 56979 65258 75972 94068 97887 113958 130516 170937 195774 227916 293661 341874 391548 424177 587322 683748 848354 880983 1174644 1272531 1696708 1761966 2545062 3523932 3817593 5090124 7635186 11452779 15270372 22905558 45811116