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58381344 = 253373197
BaseRepresentation
bin1101111010110…
…1010000100000
311001212002011000
43132231100200
5104421200334
65443152000
71306143000
oct336552040
9131762130
1058381344
112aa5584a
1217675600
13c131298
147a7a000
1551d3299
hex37ad420

58381344 has 192 divisors, whose sum is σ = 199584000. Its totient is φ = 16595712.

The previous prime is 58381307. The next prime is 58381361. The reversal of 58381344 is 44318385.

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 = 58381299 and 58381308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296254 + ... + 296450.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 258381344 is an apocalyptic number.

58381344 is a gapful number since it is divisible by the number (54) 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 58381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

58381344 is an abundant number, since it is smaller than the sum of its proper divisors (141202656).

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

58381344 is a wasteful number, since it uses less digits than its factorization.

58381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 58381344 is about 7640.7685477313. The cubic root of 58381344 is about 387.9341653277.

The spelling of 58381344 in words is "fifty-eight million, three hundred eighty-one thousand, three hundred forty-four".