Search a number
-
+
57487248 = 243271341107
BaseRepresentation
bin1101101101001…
…0111110010000
311000011122200100
43123102332100
5104204042443
65412052400
71265430210
oct333227620
9130148610
1057487248
112a4a5025
1217304100
13bbaa330
1478c6240
1550a83d3
hex36d2f90

57487248 has 240 divisors, whose sum is σ = 204736896. Its totient is φ = 14653440.

The previous prime is 57487231. The next prime is 57487249. The reversal of 57487248 is 84278475.

57487248 is a `hidden beast` number, since 574 + 8 + 72 + 4 + 8 = 666.

It is a super-2 number, since 2×574872482 = 6609567365227008, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (57487249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537211 + ... + 537317.

Almost surely, 257487248 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 57487248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

57487248 is an abundant number, since it is smaller than the sum of its proper divisors (147249648).

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

57487248 is a wasteful number, since it uses less digits than its factorization.

57487248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 57487248 is about 7582.0345554475. The cubic root of 57487248 is about 385.9435965086.

It can be divided in two parts, 5748 and 7248, that added together give a square (12996 = 1142).

The spelling of 57487248 in words is "fifty-seven million, four hundred eighty-seven thousand, two hundred forty-eight".