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55641663 = 32711174723
BaseRepresentation
bin1101010001000…
…0011000111111
310212200220000100
43110100120333
5103221013123
65304332143
71243642410
oct324203077
9125626010
1055641663
1129454450
1216774053
13b6b227c
147565807
154d41643
hex351063f

55641663 has 48 divisors (see below), whose sum is σ = 106119936. Its totient is φ = 27198720.

The previous prime is 55641659. The next prime is 55641667. The reversal of 55641663 is 36614655.

55641663 is a `hidden beast` number, since 5 + 5 + 641 + 6 + 6 + 3 = 666.

55641663 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 (55641659) and next prime (55641667).

It is not a de Polignac number, because 55641663 - 22 = 55641659 is a prime.

It is a super-2 number, since 2×556416632 = 6191989322811138, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55641667) 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 47 ways as a sum of consecutive naturals, for example, 9420 + ... + 14142.

It is an arithmetic number, because the mean of its divisors is an integer number (2210832).

Almost surely, 255641663 is an apocalyptic number.

55641663 is a deficient number, since it is larger than the sum of its proper divisors (50478273).

55641663 is a wasteful number, since it uses less digits than its factorization.

55641663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4761 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 55641663 is about 7459.3339515000. Note that the first 3 decimals coincide. The cubic root of 55641663 is about 381.7684492584.

It can be divided in two parts, 5564 and 1663, that added together give a palindrome (7227).

The spelling of 55641663 in words is "fifty-five million, six hundred forty-one thousand, six hundred sixty-three".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 4723 11781 14169 33061 42507 51953 80291 99183 155859 240873 297549 363671 467577 562037 722619 883201 1091013 1686111 2649603 3273039 5058333 6182407 7948809 18547221 55641663