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58005234 = 234751151
BaseRepresentation
bin1101110101000…
…1011011110010
311001010222020000
43131101123302
5104322131414
65431130430
71303015320
oct335213362
9131128200
1058005234
112a819211
1217513a16
13c02c031
1479bcd10
15515bb09
hex37516f2

58005234 has 40 divisors (see below), whose sum is σ = 148545408. Its totient is φ = 16572600.

The previous prime is 58005229. The next prime is 58005239. The reversal of 58005234 is 43250085.

58005234 is a `hidden beast` number, since 580 + 0 + 52 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (58005229) and next prime (58005239).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 58005198 and 58005207.

It is not an unprimeable number, because it can be changed into a prime (58005239) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24442 + ... + 26709.

Almost surely, 258005234 is an apocalyptic number.

58005234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

58005234 is an abundant number, since it is smaller than the sum of its proper divisors (90540174).

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

58005234 is a wasteful number, since it uses less digits than its factorization.

58005234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51172 (or 51163 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58005234 is about 7616.1167270467. The cubic root of 58005234 is about 387.0993074875.

The spelling of 58005234 in words is "fifty-eight million, five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 51151 102302 153453 306906 358057 460359 716114 920718 1074171 1381077 2148342 2762154 3222513 4143231 6445026 8286462 9667539 19335078 29002617 58005234