[go: up one dir, main page]

Search a number
-
+
57550540 = 2253783937
BaseRepresentation
bin1101101110001…
…0011011001100
311000021212111111
43123202123030
5104213104130
65413301404
71266112555
oct333423314
9130255444
1057550540
112a538633
1217334864
13bc00098
14790132c
1550bc02a
hex36e26cc

57550540 has 48 divisors (see below), whose sum is σ = 125752032. Its totient is φ = 22104576.

The previous prime is 57550523. The next prime is 57550553. The reversal of 57550540 is 4505575.

It is a super-3 number, since 3×575505403 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60952 + ... + 61888.

It is an arithmetic number, because the mean of its divisors is an integer number (2619834).

Almost surely, 257550540 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 57550540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62876016).

57550540 is an abundant number, since it is smaller than the sum of its proper divisors (68201492).

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

57550540 is a wasteful number, since it uses less digits than its factorization.

57550540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The square root of 57550540 is about 7586.2072210031. The cubic root of 57550540 is about 386.0851825929.

It can be divided in two parts, 575 and 50540, that added together give a palindrome (51115).

The spelling of 57550540 in words is "fifty-seven million, five hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 937 1660 1874 3071 3748 4685 6142 9370 12284 15355 18740 30710 34669 61420 69338 77771 138676 155542 173345 311084 346690 388855 693380 777710 1555420 2877527 5755054 11510108 14387635 28775270 57550540