Search a number
-
+
57052548 = 22327474817
BaseRepresentation
bin1101100110100…
…0110110000100
310222100120101100
43121220312010
5104101140143
65354500100
71261636650
oct331506604
9128316340
1057052548
112a228473
1217134630
13ba87507
147811a60
15501e6d3
hex3668d84

57052548 has 72 divisors (see below), whose sum is σ = 168360192. Its totient is φ = 15950592.

The previous prime is 57052531. The next prime is 57052559. The reversal of 57052548 is 84525075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9436 + ... + 14252.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 257052548 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 57052548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

57052548 is an abundant number, since it is smaller than the sum of its proper divisors (111307644).

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

57052548 is a wasteful number, since it uses less digits than its factorization.

57052548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 57052548 is about 7553.3137098892. The cubic root of 57052548 is about 384.9683405686.

It can be divided in two parts, 57052 and 548, that added together give a square (57600 = 2402).

The spelling of 57052548 in words is "fifty-seven million, fifty-two thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 4817 5922 9634 11844 14451 19268 28902 33719 43353 57804 67438 86706 101157 134876 173412 202314 226399 303471 404628 452798 606942 679197 905596 1213884 1358394 1584793 2037591 2716788 3169586 4075182 4754379 6339172 8150364 9508758 14263137 19017516 28526274 57052548