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55671444 = 223219199409
BaseRepresentation
bin1101010001011…
…1101010010100
310212202101212100
43110113222110
5103222441234
65305122100
71244125263
oct324275224
9125671770
1055671444
1129474864
1216789330
13b6c29aa
1475725da
154d4a399
hex3517a94

55671444 has 72 divisors (see below), whose sum is σ = 149240000. Its totient is φ = 17449344.

The previous prime is 55671419. The next prime is 55671449. The reversal of 55671444 is 44417655.

55671444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 55671399 and 55671408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55671449) 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 23 ways as a sum of consecutive naturals, for example, 135912 + ... + 136320.

Almost surely, 255671444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55671444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74620000).

55671444 is an abundant number, since it is smaller than the sum of its proper divisors (93568556).

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

55671444 is a wasteful number, since it uses less digits than its factorization.

55671444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 632 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 55671444 is about 7461.3299082670. The cubic root of 55671444 is about 381.8365482198.

The spelling of 55671444 in words is "fifty-five million, six hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 199 228 342 398 409 597 684 796 818 1194 1227 1636 1791 2388 2454 3582 3681 3781 4908 7164 7362 7562 7771 11343 14724 15124 15542 22686 23313 31084 34029 45372 46626 68058 69939 81391 93252 136116 139878 162782 244173 279756 325564 488346 732519 976692 1465038 1546429 2930076 3092858 4639287 6185716 9278574 13917861 18557148 27835722 55671444