Search a number
-
+
57031128 = 2336711127
BaseRepresentation
bin1101100110001…
…1100111011000
310222022111000000
43121203213120
5104044444003
65354213000
71261520340
oct331434730
9128274000
1057031128
112a213370
1217124160
13ba7a83b
147807d20
1550181a3
hex36639d8

57031128 has 224 divisors, whose sum is σ = 201461760. Its totient is φ = 14696640.

The previous prime is 57031067. The next prime is 57031129. The reversal of 57031128 is 82113075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57031129) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 449001 + ... + 449127.

Almost surely, 257031128 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 57031128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100730880).

57031128 is an abundant number, since it is smaller than the sum of its proper divisors (144430632).

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

57031128 is a wasteful number, since it uses less digits than its factorization.

57031128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57031128 is about 7551.8956560588. The cubic root of 57031128 is about 384.9201566030.

The spelling of 57031128 in words is "fifty-seven million, thirty-one thousand, one hundred twenty-eight".