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58455540 = 223351113757
BaseRepresentation
bin1101111011111…
…1010111110100
311001222211221000
43132333113310
5104431034130
65444523300
71306602213
oct336772764
9131884830
1058455540
112aaa6570
12176b0530
13c158ca0
147a9907a
1551ea260
hex37bf5f4

58455540 has 192 divisors, whose sum is σ = 213937920. Its totient is φ = 13063680.

The previous prime is 58455539. The next prime is 58455547. The reversal of 58455540 is 4555485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58455495 and 58455504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58455547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76842 + ... + 77598.

It is an arithmetic number, because the mean of its divisors is an integer number (1114260).

Almost surely, 258455540 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 58455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106968960).

58455540 is an abundant number, since it is smaller than the sum of its proper divisors (155482380).

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

58455540 is a wasteful number, since it uses less digits than its factorization.

58455540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 58455540 is about 7645.6222768327. The cubic root of 58455540 is about 388.0984357184.

The spelling of 58455540 in words is "fifty-eight million, four hundred fifty-five thousand, five hundred forty".