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58293612 = 223213172431
BaseRepresentation
bin1101111001011…
…1110101101100
311001200121210200
43132113311230
5104410343422
65441233500
71305326136
oct336276554
9131617720
1058293612
112a9a5943
1217632890
13c100380
147a56056
1551b72ac
hex3797d6c

58293612 has 108 divisors (see below), whose sum is σ = 168962976. Its totient is φ = 16842240.

The previous prime is 58293607. The next prime is 58293619. The reversal of 58293612 is 21639285.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58293619) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 135037 + ... + 135467.

It is an arithmetic number, because the mean of its divisors is an integer number (1564472).

Almost surely, 258293612 is an apocalyptic number.

58293612 is a gapful number since it is divisible by the number (52) 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 58293612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84481488).

58293612 is an abundant number, since it is smaller than the sum of its proper divisors (110669364).

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

58293612 is a wasteful number, since it uses less digits than its factorization.

58293612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 58293612 is about 7635.0253437693. The cubic root of 58293612 is about 387.7397464699.

The spelling of 58293612 in words is "fifty-eight million, two hundred ninety-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 289 306 431 442 468 578 612 663 862 867 884 1156 1293 1326 1724 1734 1989 2586 2601 2652 3468 3757 3879 3978 5172 5202 5603 7327 7514 7758 7956 10404 11206 11271 14654 15028 15516 16809 21981 22412 22542 29308 33618 33813 43962 45084 50427 65943 67236 67626 87924 95251 100854 124559 131886 135252 190502 201708 249118 263772 285753 373677 381004 498236 571506 747354 857259 1121031 1143012 1494708 1619267 1714518 2242062 3238534 3429036 4484124 4857801 6477068 9715602 14573403 19431204 29146806 58293612