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55350576 = 2432675737
BaseRepresentation
bin1101001100100…
…1010100110000
310212011002201100
43103021110300
5103132204301
65254204400
71241320641
oct323112460
9125132640
1055350576
1129275786
1216653700
13b60c928
1474cb6c8
154cd5286
hex34c9530

55350576 has 60 divisors (see below), whose sum is σ = 157244152. Its totient is φ = 18171648.

The previous prime is 55350569. The next prime is 55350599. The reversal of 55350576 is 67505355.

55350576 is a `hidden beast` number, since 55 + 35 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55350576.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6780 + ... + 12516.

Almost surely, 255350576 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 55350576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78622076).

55350576 is an abundant number, since it is smaller than the sum of its proper divisors (101893576).

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

55350576 is a wasteful number, since it uses less digits than its factorization.

55350576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 55350576 is about 7439.7967714179. The cubic root of 55350576 is about 381.1015498008.

The spelling of 55350576 in words is "fifty-five million, three hundred fifty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 5737 9648 11474 17211 22948 34422 45896 51633 68844 91792 103266 137688 206532 275376 384379 413064 768758 826128 1153137 1537516 2306274 3075032 3459411 4612548 6150064 6918822 9225096 13837644 18450192 27675288 55350576