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55679436 = 22327321187
BaseRepresentation
bin1101010001100…
…1100111001100
310212202210211100
43110121213030
5103223220221
65305223100
71244160501
oct324314714
9125683740
1055679436
112947a86a
1216791a90
13b6c6517
1475754a8
154d4c926
hex35199cc

55679436 has 36 divisors (see below), whose sum is σ = 142679992. Its totient is φ = 18304704.

The previous prime is 55679423. The next prime is 55679461. The reversal of 55679436 is 63497655.

55679436 is a `hidden beast` number, since 556 + 7 + 94 + 3 + 6 = 666.

55679436 is digitally balanced in base 2 and base 9, because in such bases 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 super-4 number, since 4×556794364 (a number of 32 digits) contains 4444 as substring.

55679436 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 55679391 and 55679400.

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 11 ways as a sum of consecutive naturals, for example, 7966 + ... + 13221.

Almost surely, 255679436 is an apocalyptic number.

It is an amenable number.

55679436 is an abundant number, since it is smaller than the sum of its proper divisors (87000556).

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

55679436 is a wasteful number, since it uses less digits than its factorization.

55679436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21270 (or 21265 counting only the distinct ones).

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

The square root of 55679436 is about 7461.8654504085. The cubic root of 55679436 is about 381.8548190570.

The spelling of 55679436 in words is "fifty-five million, six hundred seventy-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 21187 42374 63561 84748 127122 190683 254244 381366 762732 1546651 3093302 4639953 6186604 9279906 13919859 18559812 27839718 55679436