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54127808 = 267196359
BaseRepresentation
bin1100111001111…
…0110011000000
310202211222101122
43032132303000
5102324042213
65212051412
71225036010
oct316366300
9122758348
1054127808
1128610029
1216163b68
13b2a21b7
14728dc40
154b42d08
hex339ecc0

54127808 has 56 divisors (see below), whose sum is σ = 129235200. Its totient is φ = 21973248.

The previous prime is 54127807. The next prime is 54127817. The reversal of 54127808 is 80872145.

54127808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (54127807) 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 7 ways as a sum of consecutive naturals, for example, 5333 + ... + 11691.

Almost surely, 254127808 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 54127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64617600).

54127808 is an abundant number, since it is smaller than the sum of its proper divisors (75107392).

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

54127808 is a wasteful number, since it uses less digits than its factorization.

54127808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 54127808 is about 7357.1603217546. The cubic root of 54127808 is about 378.2742799966.

The spelling of 54127808 in words is "fifty-four million, one hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 6359 8512 12718 25436 44513 50872 89026 101744 120821 178052 203488 241642 356104 406976 483284 712208 845747 966568 1424416 1691494 1933136 2848832 3382988 3866272 6765976 7732544 13531952 27063904 54127808