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58385424 = 2437989173
BaseRepresentation
bin1101111010111…
…0010000010000
311001212021202010
43132232100100
5104421313144
65443222520
71306160616
oct336562020
9131767663
1058385424
112aa58919
1217677a40
13c1330b6
147a7b6b6
1551d45b9
hex37ae410

58385424 has 80 divisors (see below), whose sum is σ = 155347200. Its totient is φ = 18889728.

The previous prime is 58385417. The next prime is 58385491. The reversal of 58385424 is 42458385.

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, 337402 + ... + 337574.

It is an arithmetic number, because the mean of its divisors is an integer number (1941840).

Almost surely, 258385424 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 58385424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77673600).

58385424 is an abundant number, since it is smaller than the sum of its proper divisors (96961776).

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

58385424 is a wasteful number, since it uses less digits than its factorization.

58385424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 58385424 is about 7641.0355319158. The cubic root of 58385424 is about 387.9432020874.

The spelling of 58385424 in words is "fifty-eight million, three hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 89 158 173 178 237 267 316 346 356 474 519 534 632 692 712 948 1038 1068 1264 1384 1424 1896 2076 2136 2768 3792 4152 4272 7031 8304 13667 14062 15397 21093 27334 28124 30794 41001 42186 46191 54668 56248 61588 82002 84372 92382 109336 112496 123176 164004 168744 184764 218672 246352 328008 337488 369528 656016 739056 1216363 2432726 3649089 4865452 7298178 9730904 14596356 19461808 29192712 58385424