Search a number
-
+
57147150 = 23523311151
BaseRepresentation
bin1101100111111…
…1111100001110
310222112101011010
43121333330032
5104112202100
65400510050
71262512524
oct331777416
9128471133
1057147150
112a292555
121717b326
13babb5a8
147838314
15503c750
hex367ff0e

57147150 has 48 divisors (see below), whose sum is σ = 142276608. Its totient is φ = 15180000.

The previous prime is 57147133. The next prime is 57147169. The reversal of 57147150 is 5174175.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49075 + ... + 50225.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 257147150 is an apocalyptic number.

57147150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57147150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71138304).

57147150 is an abundant number, since it is smaller than the sum of its proper divisors (85129458).

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

57147150 is a wasteful number, since it uses less digits than its factorization.

57147150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 57147150 is about 7559.5734006622. The cubic root of 57147150 is about 385.1810022020.

The spelling of 57147150 in words is "fifty-seven million, one hundred forty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 331 662 993 1151 1655 1986 2302 3310 3453 4965 5755 6906 8275 9930 11510 16550 17265 24825 28775 34530 49650 57550 86325 172650 380981 761962 1142943 1904905 2285886 3809810 5714715 9524525 11429430 19049050 28573575 57147150