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58355888 = 2429314057
BaseRepresentation
bin1101111010011…
…1000010110000
311001210210020012
43132213002300
5104414342023
65442434052
71306005533
oct336470260
9131723205
1058355888
112aa38708
1217662928
13c122816
147a70a1a
1551ca978
hex37a70b0

58355888 has 40 divisors (see below), whose sum is σ = 120766080. Its totient is φ = 27256320.

The previous prime is 58355887. The next prime is 58355893. The reversal of 58355888 is 88855385.

58355888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58355887) 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, 12356 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (3019152).

Almost surely, 258355888 is an apocalyptic number.

58355888 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58355888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383040).

58355888 is an abundant number, since it is smaller than the sum of its proper divisors (62410192).

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

58355888 is a wasteful number, since it uses less digits than its factorization.

58355888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4119 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 50.

The square root of 58355888 is about 7639.1025650923. The cubic root of 58355888 is about 387.8777735246.

The spelling of 58355888 in words is "fifty-eight million, three hundred fifty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 4057 7192 8114 14384 16228 32456 64912 117653 125767 235306 251534 470612 503068 941224 1006136 1882448 2012272 3647243 7294486 14588972 29177944 58355888