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45061776 = 2432312929
BaseRepresentation
bin1010101111100…
…1011010010000
310010210101010200
42223321122100
543013434101
64245455200
71055006304
oct253713220
9103711120
1045061776
1123488641
1213111500
139449796
145dadd04
153e51986
hex2af9690

45061776 has 30 divisors (see below), whose sum is σ = 126110790. Its totient is φ = 15020544.

The previous prime is 45061769. The next prime is 45061789. The reversal of 45061776 is 67716054.

45061776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 16160400 = 5376^2 + 4020^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 45061776.

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 5 ways as a sum of consecutive naturals, for example, 156321 + ... + 156608.

It is an arithmetic number, because the mean of its divisors is an integer number (4203693).

Almost surely, 245061776 is an apocalyptic number.

It is an amenable number.

45061776 is an abundant number, since it is smaller than the sum of its proper divisors (81049014).

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

45061776 is a wasteful number, since it uses less digits than its factorization.

45061776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312943 (or 312934 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45061776 is about 6712.8068644942. The cubic root of 45061776 is about 355.8520194628.

It can be divided in two parts, 450 and 61776, that added together give a palindrome (62226).

The spelling of 45061776 in words is "forty-five million, sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 312929 625858 938787 1251716 1877574 2503432 2816361 3755148 5006864 5632722 7510296 11265444 15020592 22530888 45061776