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58272100 = 2252582721
BaseRepresentation
bin1101111001001…
…0100101100100
311001122112021221
43132102211210
5104404201400
65440550124
71305206335
oct336224544
9131575257
1058272100
112a990767
1217622344
13c0c3643
147a4c28c
1551b0c1a
hex3792964

58272100 has 18 divisors (see below), whose sum is σ = 126450674. Its totient is φ = 23308800.

The previous prime is 58272089. The next prime is 58272103. The reversal of 58272100 is 127285.

58272100 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 3 ways, for example, as 16695396 + 41576704 = 4086^2 + 6448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (58272103) 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 5 ways as a sum of consecutive naturals, for example, 291261 + ... + 291460.

Almost surely, 258272100 is an apocalyptic number.

58272100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58272100 is an abundant number, since it is smaller than the sum of its proper divisors (68178574).

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

58272100 is a wasteful number, since it uses less digits than its factorization.

58272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582735 (or 582728 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 58272100 is about 7633.6164430760. The cubic root of 58272100 is about 387.6920449386.

Adding to 58272100 its reverse (127285), we get a palindrome (58399385).

The spelling of 58272100 in words is "fifty-eight million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 582721 1165442 2330884 2913605 5827210 11654420 14568025 29136050 58272100