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55093668 = 22371741941
BaseRepresentation
bin1101001000101…
…0100110100100
310211200001022020
43102022212210
5103100444133
65244503140
71236200640
oct322124644
9124601266
1055093668
112910a763
121654aab0
13b54ca06
147461c20
154c840b3
hex348a9a4

55093668 has 96 divisors (see below), whose sum is σ = 159522048. Its totient is φ = 14438400.

The previous prime is 55093667. The next prime is 55093679. The reversal of 55093668 is 86639055.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55093667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58078 + ... + 59018.

It is an arithmetic number, because the mean of its divisors is an integer number (1661688).

Almost surely, 255093668 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 55093668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79761024).

55093668 is an abundant number, since it is smaller than the sum of its proper divisors (104428380).

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

55093668 is a wasteful number, since it uses less digits than its factorization.

55093668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 55093668 is about 7422.5108959166. The cubic root of 55093668 is about 380.5110114849.

The spelling of 55093668 in words is "fifty-five million, ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 574 697 714 861 941 1148 1394 1428 1722 1882 2091 2788 2823 3444 3764 4182 4879 5646 6587 8364 9758 11292 13174 14637 15997 19516 19761 26348 29274 31994 38581 39522 47991 58548 63988 77162 79044 95982 111979 115743 154324 191964 223958 231486 270067 335937 447916 462972 540134 655877 671874 810201 1080268 1311754 1343748 1620402 1967631 2623508 3240804 3935262 4591139 7870524 9182278 13773417 18364556 27546834 55093668