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57520424 = 231323139173
BaseRepresentation
bin1101101101101…
…1000100101000
311000020100012002
43123123010220
5104211123144
65412510132
71265626013
oct333330450
9130210162
1057520424
112a517a45
121731b348
13bbbc470
1478d437a
1550b314e
hex36db128

57520424 has 64 divisors (see below), whose sum is σ = 122774400. Its totient is φ = 25065216.

The previous prime is 57520387. The next prime is 57520439. The reversal of 57520424 is 42402575.

It is a happy number.

57520424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 332402 + ... + 332574.

It is an arithmetic number, because the mean of its divisors is an integer number (1918350).

Almost surely, 257520424 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 57520424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61387200).

57520424 is an abundant number, since it is smaller than the sum of its proper divisors (65253976).

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

57520424 is a wasteful number, since it uses less digits than its factorization.

57520424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 57520424 is about 7584.2220431630. Note that the first 3 decimals coincide. The cubic root of 57520424 is about 386.0178251587.

Adding to 57520424 its reverse (42402575), we get a palindrome (99922999).

The spelling of 57520424 in words is "fifty-seven million, five hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 139 173 184 278 299 346 556 598 692 1112 1196 1384 1807 2249 2392 3197 3614 3979 4498 6394 7228 7958 8996 12788 14456 15916 17992 24047 25576 31832 41561 48094 51727 83122 96188 103454 166244 192376 206908 312611 332488 413816 553081 625222 1106162 1250444 2212324 2500888 4424648 7190053 14380106 28760212 57520424