Search a number
-
+
57302608 = 241129103109
BaseRepresentation
bin1101101010010…
…1111001010000
310222211021101211
43122211321100
5104132140413
65404105504
71264030666
oct332457120
9128737354
1057302608
112a389330
1217235294
13bb4428c
147878c36
15506d83d
hex36a5e50

57302608 has 80 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 24675840.

The previous prime is 57302587. The next prime is 57302633. The reversal of 57302608 is 80620375.

57302608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57302608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525658 + ... + 525766.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 257302608 is an apocalyptic number.

57302608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57302608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

57302608 is an abundant number, since it is smaller than the sum of its proper divisors (70367792).

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

57302608 is a wasteful number, since it uses less digits than its factorization.

57302608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57302608 is about 7569.8486114321. The cubic root of 57302608 is about 385.5299566307.

It can be divided in two parts, 5730 and 2608, that added together give a palindrome (8338).

The spelling of 57302608 in words is "fifty-seven million, three hundred two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 103 109 116 176 206 218 232 319 412 436 464 638 824 872 1133 1199 1276 1648 1744 2266 2398 2552 2987 3161 4532 4796 5104 5974 6322 9064 9592 11227 11948 12644 18128 19184 22454 23896 25288 32857 34771 44908 47792 50576 65714 69542 89816 123497 131428 139084 179632 246994 262856 278168 325583 493988 525712 556336 651166 987976 1302332 1975952 2604664 3581413 5209328 7162826 14325652 28651304 57302608