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58400288 = 253974597
BaseRepresentation
bin1101111011000…
…1111000100000
311001220001010122
43132301320200
5104422302123
65443415412
71306252142
oct336617040
9131801118
1058400288
112aa69001
1217684568
13c139aab
147a82c92
1551d8bc8
hex37b1e20

58400288 has 24 divisors (see below), whose sum is σ = 115290252. Its totient is φ = 29120256.

The previous prime is 58400263. The next prime is 58400297. The reversal of 58400288 is 88200485.

58400288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56731024 + 1669264 = 7532^2 + 1292^2 .

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 3 ways as a sum of consecutive naturals, for example, 10406 + ... + 15002.

Almost surely, 258400288 is an apocalyptic number.

It is an amenable number.

58400288 is a deficient number, since it is larger than the sum of its proper divisors (56889964).

58400288 is a wasteful number, since it uses less digits than its factorization.

58400288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 58400288 is about 7642.0081130551. The cubic root of 58400288 is about 387.9761206829.

The spelling of 58400288 in words is "fifty-eight million, four hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 397 794 1588 3176 4597 6352 9194 12704 18388 36776 73552 147104 1825009 3650018 7300036 14600072 29200144 58400288