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58199190 = 2357373743
BaseRepresentation
bin1101111000000…
…0110010010110
311001111211021120
43132000302112
5104344333230
65435224410
71304453640
oct336006226
9131454246
1058199190
112a940a05
12175a8106
13c0993ba
147a2d890
155199310
hex3780c96

58199190 has 64 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 13249152.

The previous prime is 58199189. The next prime is 58199191. The reversal of 58199190 is 9199185.

It is an interprime number because it is at equal distance from previous prime (58199189) and next prime (58199191).

It is a super-2 number, since 2×581991902 = 6774291433312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58199191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77959 + ... + 78701.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 258199190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58199190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

58199190 is an abundant number, since it is smaller than the sum of its proper divisors (102076266).

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

58199190 is a wasteful number, since it uses less digits than its factorization.

58199190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133.

The product of its (nonzero) digits is 29160, while the sum is 42.

The square root of 58199190 is about 7628.8393612659. The cubic root of 58199190 is about 387.5302841403.

The spelling of 58199190 in words is "fifty-eight million, one hundred ninety-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 743 746 1119 1486 1865 2229 2238 2611 3715 3730 4458 5201 5222 5595 7430 7833 10402 11145 11190 13055 15603 15666 22290 26005 26110 31206 39165 52010 78015 78330 156030 277139 554278 831417 1385695 1662834 1939973 2771390 3879946 4157085 5819919 8314170 9699865 11639838 19399730 29099595 58199190