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55047384 = 233373743
BaseRepresentation
bin1101000111111…
…1010011011000
310211120200211000
43101333103120
5103043004014
65243505000
71235616000
oct321772330
9124520730
1055047384
1129088a07
1216528160
13b534922
14744d000
154c75509
hex347f4d8

55047384 has 128 divisors (see below), whose sum is σ = 178560000. Its totient is φ = 15706656.

The previous prime is 55047383. The next prime is 55047397. The reversal of 55047384 is 48374055.

55047384 is a `hidden beast` number, since 5 + 504 + 73 + 84 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55047383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73717 + ... + 74459.

It is an arithmetic number, because the mean of its divisors is an integer number (1395000).

Almost surely, 255047384 is an apocalyptic number.

55047384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55047384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280000).

55047384 is an abundant number, since it is smaller than the sum of its proper divisors (123512616).

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

55047384 is a wasteful number, since it uses less digits than its factorization.

55047384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

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

The square root of 55047384 is about 7419.3924279553. The cubic root of 55047384 is about 380.4044263036.

The spelling of 55047384 in words is "fifty-five million, forty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 743 756 882 1029 1176 1323 1372 1486 1512 1764 2058 2229 2646 2744 2972 3087 3528 4116 4458 5201 5292 5944 6174 6687 8232 8916 9261 10402 10584 12348 13374 15603 17832 18522 20061 20804 24696 26748 31206 36407 37044 40122 41608 46809 53496 62412 72814 74088 80244 93618 109221 124824 140427 145628 160488 187236 218442 254849 280854 291256 327663 374472 436884 509698 561708 655326 764547 873768 982989 1019396 1123416 1310652 1529094 1965978 2038792 2293641 2621304 3058188 3931956 4587282 6116376 6880923 7863912 9174564 13761846 18349128 27523692 55047384