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55031184 = 24331341239
BaseRepresentation
bin1101000111101…
…1010110010000
310211112212121000
43101323112100
5103041444214
65243302000
71235520525
oct321732620
9124485530
1055031184
112907781a
121651a900
13b52a440
14744714c
154c70809
hex347b590

55031184 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 16450560.

The previous prime is 55031167. The next prime is 55031189. The reversal of 55031184 is 48113055.

55031184 is a `hidden beast` number, since 550 + 31 + 1 + 84 = 666.

55031184 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 (27).

It is not an unprimeable number, because it can be changed into a prime (55031189) 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 31 ways as a sum of consecutive naturals, for example, 230137 + ... + 230375.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 255031184 is an apocalyptic number.

55031184 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 55031184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

55031184 is an abundant number, since it is smaller than the sum of its proper divisors (119957616).

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

55031184 is a wasteful number, since it uses less digits than its factorization.

55031184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55031184 is about 7418.3006140221. The cubic root of 55031184 is about 380.3671059934.

The spelling of 55031184 in words is "fifty-five million, thirty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 104 108 117 123 144 156 164 208 216 234 239 246 312 328 351 369 432 468 478 492 533 624 656 702 717 738 936 956 984 1066 1107 1404 1434 1476 1599 1872 1912 1968 2132 2151 2214 2808 2868 2952 3107 3198 3824 4264 4302 4428 4797 5616 5736 5904 6214 6396 6453 8528 8604 8856 9321 9594 9799 11472 12428 12792 12906 14391 17208 17712 18642 19188 19598 24856 25584 25812 27963 28782 29397 34416 37284 38376 39196 49712 51624 55926 57564 58794 74568 76752 78392 83889 88191 103248 111852 115128 117588 127387 149136 156784 167778 176382 223704 230256 235176 254774 264573 335556 352764 382161 447408 470352 509548 529146 671112 705528 764322 1019096 1058292 1146483 1342224 1411056 1528644 2038192 2116584 2292966 3057288 3439449 4233168 4585932 6114576 6878898 9171864 13757796 18343728 27515592 55031184