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58379190 = 235171131013
BaseRepresentation
bin1101111010110…
…0101110110110
311001211222012020
43132230232312
5104421113230
65443134010
71306133502
oct336545666
9131758166
1058379190
112aa54171
1217674306
13c1302cc
147a79302
1551d2810
hex37acbb6

58379190 has 64 divisors (see below), whose sum is σ = 149812416. Its totient is φ = 14508032.

The previous prime is 58379161. The next prime is 58379213. The reversal of 58379190 is 9197385.

It is a happy number.

It is a super-2 number, since 2×583791902 = 6816259650112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57124 + ... + 58136.

It is an arithmetic number, because the mean of its divisors is an integer number (2340819).

Almost surely, 258379190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58379190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74906208).

58379190 is an abundant number, since it is smaller than the sum of its proper divisors (91433226).

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

58379190 is a wasteful number, since it uses less digits than its factorization.

58379190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 58379190 is about 7640.6275920241. The cubic root of 58379190 is about 387.9293942803.

The spelling of 58379190 in words is "fifty-eight million, three hundred seventy-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 339 510 565 678 1013 1130 1695 1921 2026 3039 3390 3842 5065 5763 6078 9605 10130 11526 15195 17221 19210 28815 30390 34442 51663 57630 86105 103326 114469 172210 228938 258315 343407 516630 572345 686814 1144690 1717035 1945973 3434070 3891946 5837919 9729865 11675838 19459730 29189595 58379190