Search a number
-
+
57091072 = 210127439
BaseRepresentation
bin1101100111001…
…0010000000000
310222102112020011
43121302100000
5104103403242
65355354304
71262160163
oct331622000
9128375204
1057091072
112a254405
1217152994
13ba9bbcc
147821ada
15502ad17
hex3672400

57091072 has 44 divisors (see below), whose sum is σ = 115287040. Its totient is φ = 28256256.

The previous prime is 57091063. The next prime is 57091081. The reversal of 57091072 is 27019075.

It is an interprime number because it is at equal distance from previous prime (57091063) and next prime (57091081).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129829 + ... + 130267.

It is an arithmetic number, because the mean of its divisors is an integer number (2620160).

Almost surely, 257091072 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 57091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57643520).

57091072 is an abundant number, since it is smaller than the sum of its proper divisors (58195968).

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

57091072 is a wasteful number, since it uses less digits than its factorization.

57091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 57091072 is about 7555.8634185644. The cubic root of 57091072 is about 385.0549693818.

The spelling of 57091072 in words is "fifty-seven million, ninety-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 439 508 512 878 1016 1024 1756 2032 3512 4064 7024 8128 14048 16256 28096 32512 55753 56192 65024 111506 112384 130048 223012 224768 446024 449536 892048 1784096 3568192 7136384 14272768 28545536 57091072