Search a number
-
+
57504768 = 210318719
BaseRepresentation
bin1101101101011…
…1010000000000
311000012112201020
43123113100000
5104210123033
65412305440
71265532246
oct333272000
9130175636
1057504768
112a507202
1217312280
13bbb52b9
1478cc796
1550ad6b3
hex36d7400

57504768 has 44 divisors (see below), whose sum is σ = 153279360. Its totient is φ = 19167232.

The previous prime is 57504743. The next prime is 57504793. The reversal of 57504768 is 86740575.

It is an interprime number because it is at equal distance from previous prime (57504743) and next prime (57504793).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6288 + ... + 12431.

Almost surely, 257504768 is an apocalyptic number.

It is an amenable number.

57504768 is an abundant number, since it is smaller than the sum of its proper divisors (95774592).

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

57504768 is a wasteful number, since it uses less digits than its factorization.

57504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 57504768 is about 7583.1898301440. The cubic root of 57504768 is about 385.9827996667.

The spelling of 57504768 in words is "fifty-seven million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 18719 37438 56157 74876 112314 149752 224628 299504 449256 599008 898512 1198016 1797024 2396032 3594048 4792064 7188096 9584128 14376192 19168256 28752384 57504768