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55366344 = 233211531319
BaseRepresentation
bin1101001100110…
…1001011001000
310212011220100100
43103031023020
5103133210334
65254405400
71241414625
oct323151310
9125156310
1055366344
1129286610
1216660860
13b616b67
1474d334c
154cd9c99
hex34cd2c8

55366344 has 96 divisors (see below), whose sum is σ = 166795200. Its totient is φ = 16448640.

The previous prime is 55366343. The next prime is 55366351. The reversal of 55366344 is 44366355.

55366344 is a `hidden beast` number, since 553 + 6 + 63 + 44 = 666.

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

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 = 55366299 and 55366308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55366343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41317 + ... + 42635.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 255366344 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 55366344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83397600).

55366344 is an abundant number, since it is smaller than the sum of its proper divisors (111428856).

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

55366344 is a wasteful number, since it uses less digits than its factorization.

55366344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1388 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 55366344 is about 7440.8564023236. The cubic root of 55366344 is about 381.1377351437.

The spelling of 55366344 in words is "fifty-five million, three hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1319 1749 1908 2332 2638 3498 3816 3957 4664 5247 5276 6996 7914 10494 10552 11871 13992 14509 15828 20988 23742 29018 31656 41976 43527 47484 58036 69907 87054 94968 116072 130581 139814 174108 209721 261162 279628 348216 419442 522324 559256 629163 768977 838884 1044648 1258326 1537954 1677768 2306931 2516652 3075908 4613862 5033304 6151816 6920793 9227724 13841586 18455448 27683172 55366344