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57004596 = 223211413511
BaseRepresentation
bin1101100101110…
…1001000110100
310222021010121100
43121131020310
5104043121341
65353450100
71261350105
oct331351064
9128233540
1057004596
112a1a5440
1217110930
13ba6b73c
1477dc3ac
1550103b6
hex365d234

57004596 has 72 divisors (see below), whose sum is σ = 161074368. Its totient is φ = 16848000.

The previous prime is 57004573. The next prime is 57004601. The reversal of 57004596 is 69540075.

57004596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 57004596.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14481 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (2237144).

Almost surely, 257004596 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 57004596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80537184).

57004596 is an abundant number, since it is smaller than the sum of its proper divisors (104069772).

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

57004596 is a wasteful number, since it uses less digits than its factorization.

57004596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57004596 is about 7550.1388066710. The cubic root of 57004596 is about 384.8604565404.

It can be divided in two parts, 57004 and 596, that added together give a square (57600 = 2402).

The spelling of 57004596 in words is "fifty-seven million, four thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 3511 4059 5412 7022 8118 10533 14044 16236 21066 31599 38621 42132 63198 77242 115863 126396 143951 154484 231726 287902 347589 431853 463452 575804 695178 863706 1295559 1390356 1583461 1727412 2591118 3166922 4750383 5182236 6333844 9500766 14251149 19001532 28502298 57004596