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58254208 = 273153277
BaseRepresentation
bin1101111000111…
…0001110000000
311001121121202021
43132032032000
5104403113313
65440331224
71305103225
oct336161600
9131547667
1058254208
112a979281
1217613b14
13c0b845c
147a4594c
1551aa78d
hex378e380

58254208 has 64 divisors (see below), whose sum is σ = 122497920. Its totient is φ = 27555840.

The previous prime is 58254199. The next prime is 58254211. The reversal of 58254208 is 80245285.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210166 + ... + 210442.

It is an arithmetic number, because the mean of its divisors is an integer number (1914030).

Almost surely, 258254208 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 58254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248960).

58254208 is an abundant number, since it is smaller than the sum of its proper divisors (64243712).

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

58254208 is a wasteful number, since it uses less digits than its factorization.

58254208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 58254208 is about 7632.4444315042. Note that the first 4 decimals coincide. The cubic root of 58254208 is about 387.6523615903.

The spelling of 58254208 in words is "fifty-eight million, two hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 277 424 496 554 848 992 1108 1643 1696 1984 2216 3286 3392 3968 4432 6572 6784 8587 8864 13144 14681 17174 17728 26288 29362 34348 35456 52576 58724 68696 105152 117448 137392 210304 234896 274784 455111 469792 549568 910222 939584 1099136 1820444 1879168 3640888 7281776 14563552 29127104 58254208