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54501426 = 23272611013
BaseRepresentation
bin1100111111101…
…0000000110010
310210112221220100
43033322000302
5102423021201
65224053230
71231153200
oct317720062
9123487810
1054501426
1128845801
1216304216
13b3a3285
14734a070
154bb8886
hex33fa032

54501426 has 72 divisors (see below), whose sum is σ = 139755564. Its totient is φ = 15301440.

The previous prime is 54501373. The next prime is 54501449. The reversal of 54501426 is 62410545.

54501426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33350625 + 21150801 = 5775^2 + 4599^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54501426.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 53296 + ... + 54308.

Almost surely, 254501426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54501426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69877782).

54501426 is an abundant number, since it is smaller than the sum of its proper divisors (85254138).

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

54501426 is a wasteful number, since it uses less digits than its factorization.

54501426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54501426 is about 7382.5081103918. The cubic root of 54501426 is about 379.1426330592.

The spelling of 54501426 in words is "fifty-four million, five hundred one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 366 427 441 549 854 882 1013 1098 1281 2026 2562 2989 3039 3843 5978 6078 7091 7686 8967 9117 14182 17934 18234 21273 26901 42546 49637 53802 61793 63819 99274 123586 127638 148911 185379 297822 370758 432551 446733 556137 865102 893466 1112274 1297653 2595306 3027857 3892959 6055714 7785918 9083571 18167142 27250713 54501426