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58043328 = 2637192273
BaseRepresentation
bin1101110101101…
…0101111000000
311001012220110220
43131122233000
5104324341303
65432023040
71303234350
oct335325700
9131186426
1058043328
112a8448a2
1217531a80
13c043485
1479ccb60
155168053
hex375abc0

58043328 has 112 divisors (see below), whose sum is σ = 184830720. Its totient is φ = 15704064.

The previous prime is 58043317. The next prime is 58043339. The reversal of 58043328 is 82334085.

58043328 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (58043317) and next prime (58043339).

It is a tau number, because it is divible by the number of its divisors (112).

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, 24400 + ... + 26672.

Almost surely, 258043328 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 58043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92415360).

58043328 is an abundant number, since it is smaller than the sum of its proper divisors (126787392).

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

58043328 is a wasteful number, since it uses less digits than its factorization.

58043328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 58043328 is about 7618.6171973659. The cubic root of 58043328 is about 387.1840293483.

The spelling of 58043328 in words is "fifty-eight million, forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 2273 3192 3648 4256 4546 6384 6819 8512 9092 12768 13638 15911 18184 25536 27276 31822 36368 43187 47733 54552 63644 72736 86374 95466 109104 127288 129561 145472 172748 190932 218208 254576 259122 302309 345496 381864 436416 509152 518244 604618 690992 763728 906927 1018304 1036488 1209236 1381984 1527456 1813854 2072976 2418472 2763968 3054912 3627708 4145952 4836944 7255416 8291904 9673888 14510832 19347776 29021664 58043328