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45780084 = 22327181667
BaseRepresentation
bin1010111010100…
…0110001110100
310012010212110200
42232220301310
543204430314
64313120500
71064060430
oct256506164
9105125420
1045780084
1123929289
12133b9130
13963b70c
1461199c0
154044709
hex2ba8c74

45780084 has 36 divisors (see below), whose sum is σ = 132254304. Its totient is φ = 13079952.

The previous prime is 45780043. The next prime is 45780089. The reversal of 45780084 is 48008754.

45780084 is a `hidden beast` number, since 4 + 578 + 0 + 0 + 84 = 666.

45780084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45780089) 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 11 ways as a sum of consecutive naturals, for example, 90582 + ... + 91085.

Almost surely, 245780084 is an apocalyptic number.

It is an amenable number.

45780084 is an abundant number, since it is smaller than the sum of its proper divisors (86474220).

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

45780084 is a wasteful number, since it uses less digits than its factorization.

45780084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181684 (or 181679 counting only the distinct ones).

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

The square root of 45780084 is about 6766.0981370358. The cubic root of 45780084 is about 357.7328823153.

The spelling of 45780084 in words is "forty-five million, seven hundred eighty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 181667 363334 545001 726668 1090002 1271669 1635003 2180004 2543338 3270006 3815007 5086676 6540012 7630014 11445021 15260028 22890042 45780084