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58363104 = 2531274787
BaseRepresentation
bin1101111010100…
…0110011100000
311001211011010110
43132220303200
5104420104404
65442531320
71306035552
oct336506340
9131734113
1058363104
112aa43078
1217666b40
13c125ba7
147a734d2
1551ccb89
hex37a8ce0

58363104 has 48 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 19297152.

The previous prime is 58363103. The next prime is 58363127. The reversal of 58363104 is 40136385.

58363104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58363103) 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 7 ways as a sum of consecutive naturals, for example, 9799 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 258363104 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 58363104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

58363104 is an abundant number, since it is smaller than the sum of its proper divisors (96078624).

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

58363104 is a wasteful number, since it uses less digits than its factorization.

58363104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 58363104 is about 7639.5748572810. The cubic root of 58363104 is about 387.8937605469.

Adding to 58363104 its reverse (40136385), we get a palindrome (98499489).

The spelling of 58363104 in words is "fifty-eight million, three hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 4787 6096 9574 12192 14361 19148 28722 38296 57444 76592 114888 153184 229776 459552 607949 1215898 1823847 2431796 3647694 4863592 7295388 9727184 14590776 19454368 29181552 58363104