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55461888 = 211331759
BaseRepresentation
bin1101001110010…
…0100000000000
310212100202102000
43103210200000
5103144240023
65300424000
71242263316
oct323444000
9125322360
1055461888
1129341379
12166a8000
13b64b4b1
14751a0b6
154d08243
hex34e4800

55461888 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 17104896.

The previous prime is 55461881. The next prime is 55461899. The reversal of 55461888 is 88816455.

55461888 is a `hidden beast` number, since 554 + 6 + 18 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (55461881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940003 + ... + 940061.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 255461888 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 55461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

55461888 is an abundant number, since it is smaller than the sum of its proper divisors (121442112).

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

55461888 is a wasteful number, since it uses less digits than its factorization.

55461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 55461888 is about 7447.2738636363. The cubic root of 55461888 is about 381.3568483823.

The spelling of 55461888 in words is "fifty-five million, four hundred sixty-one thousand, eight hundred eighty-eight".