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57344504 = 2372241607
BaseRepresentation
bin1101101011000…
…0000111111000
310222220101212112
43122300013320
5104140011004
65405031452
71264264100
oct332600770
9128811775
1057344504
112a407858
1217255588
13bb5a379
14788a200
15507ae6e
hex36b01f8

57344504 has 48 divisors (see below), whose sum is σ = 125801280. Its totient is φ = 24433920.

The previous prime is 57344491. The next prime is 57344509. The reversal of 57344504 is 40544375.

57344504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57344509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94169 + ... + 94775.

It is an arithmetic number, because the mean of its divisors is an integer number (2620860).

Almost surely, 257344504 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 57344504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62900640).

57344504 is an abundant number, since it is smaller than the sum of its proper divisors (68456776).

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

57344504 is a wasteful number, since it uses less digits than its factorization.

57344504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 57344504 is about 7572.6154002432. The cubic root of 57344504 is about 385.6238920189.

Adding to 57344504 its reverse (40544375), we get a palindrome (97888879).

It can be divided in two parts, 57344 and 504, that multiplied together give a square (28901376 = 53762).

The spelling of 57344504 in words is "fifty-seven million, three hundred forty-four thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 241 392 482 607 964 1214 1687 1928 2428 3374 4249 4856 6748 8498 11809 13496 16996 23618 29743 33992 47236 59486 94472 118972 146287 237944 292574 585148 1024009 1170296 2048018 4096036 7168063 8192072 14336126 28672252 57344504