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55673649 = 3429137173
BaseRepresentation
bin1101010001100…
…0001100110001
310212202111220000
43110120030301
5103223024044
65305140213
71244134563
oct324301461
9125674800
1055673649
1129476489
121678a669
13b6c39b5
147573333
154d4ad69
hex3518331

55673649 has 40 divisors (see below), whose sum is σ = 87163560. Its totient is φ = 35368704.

The previous prime is 55673647. The next prime is 55673677. The reversal of 55673649 is 94637655.

It can be written as a sum of positive squares in 4 ways, for example, as 22496049 + 33177600 = 4743^2 + 5760^2 .

It is not a de Polignac number, because 55673649 - 21 = 55673647 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55673647) 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 39 ways as a sum of consecutive naturals, for example, 321727 + ... + 321899.

It is an arithmetic number, because the mean of its divisors is an integer number (2179089).

Almost surely, 255673649 is an apocalyptic number.

It is an amenable number.

55673649 is a deficient number, since it is larger than the sum of its proper divisors (31489911).

55673649 is a wasteful number, since it uses less digits than its factorization.

55673649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 55673649 is about 7461.4776686659. The cubic root of 55673649 is about 381.8415893349.

It can be divided in two parts, 5567 and 3649, that added together give a square (9216 = 962).

The spelling of 55673649 in words is "fifty-five million, six hundred seventy-three thousand, six hundred forty-nine".

Divisors: 1 3 9 27 29 81 87 137 173 261 411 519 783 1233 1557 2349 3699 3973 4671 5017 11097 11919 14013 15051 23701 35757 45153 71103 107271 135459 213309 321813 406377 639927 687329 1919781 2061987 6185961 18557883 55673649