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57280512 = 21139323
BaseRepresentation
bin1101101010000…
…0100000000000
310222210011002110
43122200200000
5104130434022
65403415320
71263606402
oct332404000
9128704073
1057280512
112a373773
1217224540
13bb371c3
147870b72
15506700c
hex36a0800

57280512 has 48 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 19091456.

The previous prime is 57280469. The next prime is 57280513. The reversal of 57280512 is 21508275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57280512.

It is not an unprimeable number, because it can be changed into a prime (57280513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1483 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 257280512 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 57280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

57280512 is an abundant number, since it is smaller than the sum of its proper divisors (95446608).

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

57280512 is an equidigital number, since it uses as much as digits as its factorization.

57280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57280512 is about 7568.3889963453. The cubic root of 57280512 is about 385.4803965531.

Adding to 57280512 its reverse (21508275), we get a palindrome (78788787).

The spelling of 57280512 in words is "fifty-seven million, two hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 9323 18646 27969 37292 55938 74584 111876 149168 223752 298336 447504 596672 895008 1193344 1790016 2386688 3580032 4773376 7160064 9546752 14320128 19093504 28640256 57280512