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55268244 = 2234433967
BaseRepresentation
bin1101001011010…
…1001110010100
310211222220210000
43102311032110
5103122040434
65252331300
71240525623
oct322651624
9124886700
1055268244
1129219939
1216613b30
13b5b1305
1474a96ba
154cbab99
hex34b5394

55268244 has 60 divisors (see below), whose sum is σ = 147879424. Its totient is φ = 17989776.

The previous prime is 55268243. The next prime is 55268261. The reversal of 55268244 is 44286255.

It is a happy number.

55268244 is a `hidden beast` number, since 552 + 68 + 2 + 44 = 666.

55268244 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 55268199 and 55268208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55268243) 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 19 ways as a sum of consecutive naturals, for example, 11949 + ... + 15915.

Almost surely, 255268244 is an apocalyptic number.

55268244 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 55268244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73939712).

55268244 is an abundant number, since it is smaller than the sum of its proper divisors (92611180).

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

55268244 is a wasteful number, since it uses less digits than its factorization.

55268244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4015 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55268244 is about 7434.2614966115. The cubic root of 55268244 is about 380.9124977304.

The spelling of 55268244 in words is "fifty-five million, two hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 3967 4644 6966 7934 11901 13932 15868 23802 35703 47604 71406 107109 142812 170581 214218 321327 341162 428436 511743 642654 682324 1023486 1285308 1535229 2046972 3070458 4605687 6140916 9211374 13817061 18422748 27634122 55268244