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55465040 = 245809857
BaseRepresentation
bin1101001110010…
…1010001010000
310212100220201202
43103211101100
5103144340130
65300450332
71242305441
oct323452120
9125326652
1055465040
1129343784
12166a99a8
13b64ca67
14751b2c8
154d09145
hex34e5450

55465040 has 40 divisors (see below), whose sum is σ = 129266280. Its totient is φ = 22132736.

The previous prime is 55465037. The next prime is 55465049. The reversal of 55465040 is 4056455.

It can be written as a sum of positive squares in 4 ways, for example, as 28174864 + 27290176 = 5308^2 + 5224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 55464994 and 55465012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55465049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64292 + ... + 65148.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 255465040 is an apocalyptic number.

It is an amenable number.

55465040 is an abundant number, since it is smaller than the sum of its proper divisors (73801240).

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

55465040 is a wasteful number, since it uses less digits than its factorization.

55465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 55465040 is about 7447.4854816911. The cubic root of 55465040 is about 381.3640726466.

The spelling of 55465040 in words is "fifty-five million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 857 1618 1714 3236 3428 4045 4285 6472 6856 8090 8570 12944 13712 16180 17140 32360 34280 64720 68560 693313 1386626 2773252 3466565 5546504 6933130 11093008 13866260 27732520 55465040