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58130853 = 311101107163
BaseRepresentation
bin1101110111000…
…0000110100101
311001101100112120
43131300012211
5104340141403
65433540153
71304050464
oct335600645
9131340476
1058130853
112a8a4630
1217574659
13c074271
147a129db
155183e53
hex37701a5

58130853 has 32 divisors (see below), whose sum is σ = 86717952. Its totient is φ = 34344000.

The previous prime is 58130851. The next prime is 58130879. The reversal of 58130853 is 35803185.

58130853 = T1022 + T1023 + ... + T1122.

58130853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58130853 - 21 = 58130851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58130851) 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 31 ways as a sum of consecutive naturals, for example, 356550 + ... + 356712.

It is an arithmetic number, because the mean of its divisors is an integer number (2709936).

Almost surely, 258130853 is an apocalyptic number.

It is an amenable number.

58130853 is a deficient number, since it is larger than the sum of its proper divisors (28587099).

58130853 is a wasteful number, since it uses less digits than its factorization.

58130853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 58130853 is about 7624.3591861874. The cubic root of 58130853 is about 387.3785464670.

The spelling of 58130853 in words is "fifty-eight million, one hundred thirty thousand, eight hundred fifty-three".

Divisors: 1 3 11 33 101 107 163 303 321 489 1111 1177 1793 3333 3531 5379 10807 16463 17441 32421 49389 52323 118877 181093 191851 356631 543279 575553 1761541 5284623 19376951 58130853