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57004024 = 23711293191
BaseRepresentation
bin1101100101110…
…0111111111000
310222021002211011
43121130333320
5104043112044
65353443304
71261345330
oct331347770
9128232734
1057004024
112a1a4a70
1217110534
13ba6b3bc
1477dc0c0
155010134
hex365cff8

57004024 has 64 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 21436800.

The previous prime is 57004001. The next prime is 57004027. The reversal of 57004024 is 42040075.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 57003986 and 57004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57004027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16269 + ... + 19459.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 257004024 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 57004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

57004024 is an abundant number, since it is smaller than the sum of its proper divisors (80890376).

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

57004024 is a wasteful number, since it uses less digits than its factorization.

57004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 57004024 is about 7550.1009264777. The cubic root of 57004024 is about 384.8591692705.

Adding to 57004024 its reverse (42040075), we get a palindrome (99044099).

The spelling of 57004024 in words is "fifty-seven million, four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 3191 4466 6382 8932 12764 17864 22337 25528 35101 44674 70202 89348 92539 140404 178696 185078 245707 280808 370156 491414 647773 740312 982828 1017929 1295546 1965656 2035858 2591092 4071716 5182184 7125503 8143432 14251006 28502012 57004024