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57432064 = 21129967
BaseRepresentation
bin1101101100010…
…1100000000000
311000001211222111
43123011200000
5104200311224
65410545104
71265110264
oct333054000
9130054874
1057432064
112a467618
1217298194
13bb8b191
1478b00a4
155096d94
hex36c5800

57432064 has 48 divisors (see below), whose sum is σ = 118918800. Its totient is φ = 27697152.

The previous prime is 57432061. The next prime is 57432077. The reversal of 57432064 is 46023475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57432061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58909 + ... + 59875.

It is an arithmetic number, because the mean of its divisors is an integer number (2477475).

Almost surely, 257432064 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 57432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59459400).

57432064 is an abundant number, since it is smaller than the sum of its proper divisors (61486736).

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

57432064 is an equidigital number, since it uses as much as digits as its factorization.

57432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 57432064 is about 7578.3945529380. The cubic root of 57432064 is about 385.8200634314.

The spelling of 57432064 in words is "fifty-seven million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 967 1024 1856 1934 2048 3712 3868 7424 7736 14848 15472 28043 29696 30944 56086 59392 61888 112172 123776 224344 247552 448688 495104 897376 990208 1794752 1980416 3589504 7179008 14358016 28716032 57432064