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58549140 = 2232513131191
BaseRepresentation
bin1101111101011…
…0001110010100
311002011121022200
43133112032110
5104442033030
65450524500
71310442126
oct337261624
9132147280
1058549140
113005a921
1217736730
13c18c780
147ac1216
155217d60
hex37d6394

58549140 has 144 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 14227200.

The previous prime is 58549129. The next prime is 58549147. The reversal of 58549140 is 4194585.

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

It is a junction number, because it is equal to n+sod(n) for n = 58549095 and 58549104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58549147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306445 + ... + 306635.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 258549140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58549140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

58549140 is an abundant number, since it is smaller than the sum of its proper divisors (135180396).

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

58549140 is a wasteful number, since it uses less digits than its factorization.

58549140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 58549140 is about 7651.7409783656. The cubic root of 58549140 is about 388.3054685175.

The spelling of 58549140 in words is "fifty-eight million, five hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 180 191 195 234 260 262 382 390 393 468 524 573 585 655 764 780 786 955 1146 1170 1179 1310 1572 1703 1719 1910 1965 2292 2340 2358 2483 2620 2865 3406 3438 3820 3930 4716 4966 5109 5730 5895 6812 6876 7449 7860 8515 8595 9932 10218 11460 11790 12415 14898 15327 17030 17190 20436 22347 23580 24830 25021 25545 29796 30654 34060 34380 37245 44694 49660 50042 51090 61308 74490 75063 76635 89388 100084 102180 111735 125105 148980 150126 153270 223470 225189 250210 300252 306540 325273 375315 446940 450378 500420 650546 750630 900756 975819 1125945 1301092 1501260 1626365 1951638 2251890 2927457 3252730 3903276 4503780 4879095 5854914 6505460 9758190 11709828 14637285 19516380 29274570 58549140