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55101384 = 23341331211
BaseRepresentation
bin1101001000110…
…0011111001000
310211200102220000
43102030133020
5103101221014
65245003000
71236232302
oct322143710
9124612800
1055101384
1129115538
1216553460
13b553390
147464972
154c86509
hex348c7c8

55101384 has 160 divisors (see below), whose sum is σ = 172381440. Its totient is φ = 16329600.

The previous prime is 55101383. The next prime is 55101401. The reversal of 55101384 is 48310155.

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 (55101383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261039 + ... + 261249.

It is an arithmetic number, because the mean of its divisors is an integer number (1077384).

Almost surely, 255101384 is an apocalyptic number.

55101384 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 55101384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86190720).

55101384 is an abundant number, since it is smaller than the sum of its proper divisors (117280056).

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

55101384 is a wasteful number, since it uses less digits than its factorization.

55101384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

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

The square root of 55101384 is about 7423.0306479227. The cubic root of 55101384 is about 380.5287744814.

The spelling of 55101384 in words is "fifty-five million, one hundred one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 81 93 104 108 117 124 156 162 186 211 216 234 248 279 312 324 351 372 403 422 468 558 633 648 702 744 806 837 844 936 1053 1116 1209 1266 1404 1612 1674 1688 1899 2106 2232 2418 2511 2532 2743 2808 3224 3348 3627 3798 4212 4836 5022 5064 5486 5697 6541 6696 7254 7596 8229 8424 9672 10044 10881 10972 11394 13082 14508 15192 16458 17091 19623 20088 21762 21944 22788 24687 26164 29016 32643 32916 34182 39246 43524 45576 49374 52328 58869 65286 65832 68364 74061 78492 85033 87048 98748 117738 130572 136728 148122 156984 170066 176607 197496 222183 235476 255099 261144 296244 340132 353214 444366 470952 510198 529821 592488 680264 706428 765297 888732 1020396 1059642 1412856 1530594 1777464 2040792 2119284 2295891 3061188 4238568 4591782 6122376 6887673 9183564 13775346 18367128 27550692 55101384