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58194048 = 2731123599
BaseRepresentation
bin1101110111111…
…1100010000000
311001111120020010
43131333202000
5104344202143
65435144520
71304432643
oct335774200
9131446203
1058194048
112a938060
12175a5140
13c096c63
147a2ba5a
155197a33
hex377f880

58194048 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 16839680.

The previous prime is 58194023. The next prime is 58194107. The reversal of 58194048 is 84049185.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 58193997 and 58194015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96853 + ... + 97451.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 258194048 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 58194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

58194048 is an abundant number, since it is smaller than the sum of its proper divisors (118061952).

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

58194048 is a wasteful number, since it uses less digits than its factorization.

58194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 58194048 is about 7628.5023431864. The cubic root of 58194048 is about 387.5188708118.

The spelling of 58194048 in words is "fifty-eight million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 599 704 736 759 1012 1056 1104 1198 1408 1472 1518 1797 2024 2112 2208 2396 2944 3036 3594 4048 4224 4416 4792 6072 6589 7188 8096 8832 9584 12144 13178 13777 14376 16192 19168 19767 24288 26356 27554 28752 32384 38336 39534 41331 48576 52712 55108 57504 76672 79068 82662 97152 105424 110216 115008 151547 158136 165324 210848 220432 230016 303094 316272 330648 421696 440864 454641 606188 632544 661296 843392 881728 909282 1212376 1265088 1322592 1763456 1818564 2424752 2530176 2645184 3637128 4849504 5290368 7274256 9699008 14548512 19398016 29097024 58194048