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58089696 = 2537253233
BaseRepresentation
bin1101110110011…
…0000011100000
311001022021002020
43131212003200
5104332332241
65433021440
71303516500
oct335460340
9131267066
1058089696
112a876715
1217554880
13c05b602
147a01a00
155176b66
hex37660e0

58089696 has 144 divisors (see below), whose sum is σ = 181503504. Its totient is φ = 16214016.

The previous prime is 58089679. The next prime is 58089721. The reversal of 58089696 is 69698085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249196 + ... + 249428.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441).

Almost surely, 258089696 is an apocalyptic number.

58089696 is a gapful number since it is divisible by the number (56) 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 58089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751752).

58089696 is an abundant number, since it is smaller than the sum of its proper divisors (123413808).

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

58089696 is a wasteful number, since it uses less digits than its factorization.

58089696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 58089696 is about 7621.6596617797. The cubic root of 58089696 is about 387.2871027548.

It can be divided in two parts, 58089 and 696, that added together give a palindrome (58785).

The spelling of 58089696 in words is "fifty-eight million, eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 233 294 318 336 371 392 424 466 588 636 672 699 742 784 848 932 1113 1176 1272 1398 1484 1568 1631 1696 1864 2226 2352 2544 2597 2796 2968 3262 3728 4452 4704 4893 5088 5194 5592 5936 6524 7456 7791 8904 9786 10388 11184 11417 11872 12349 13048 15582 17808 19572 20776 22368 22834 24698 26096 31164 34251 35616 37047 39144 41552 45668 49396 52192 62328 68502 74094 78288 83104 86443 91336 98792 124656 137004 148188 156576 172886 182672 197584 249312 259329 274008 296376 345772 365344 395168 518658 548016 592752 605101 691544 1037316 1096032 1185504 1210202 1383088 1815303 2074632 2420404 2766176 3630606 4149264 4840808 7261212 8298528 9681616 14522424 19363232 29044848 58089696