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58294016 = 2811127163
BaseRepresentation
bin1101111001011…
…1111100000000
311001200122100122
43132113330000
5104410402031
65441235412
71305330254
oct336277400
9131618318
1058294016
112a9a6180
1217632b68
13c100601
147a56264
1551b747b
hex3797f00

58294016 has 72 divisors (see below), whose sum is σ = 128722944. Its totient is φ = 26127360.

The previous prime is 58294013. The next prime is 58294039. The reversal of 58294016 is 61049285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58294013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357551 + ... + 357713.

Almost surely, 258294016 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 58294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64361472).

58294016 is an abundant number, since it is smaller than the sum of its proper divisors (70428928).

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

58294016 is a wasteful number, since it uses less digits than its factorization.

58294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 58294016 is about 7635.0518007411. The cubic root of 58294016 is about 387.7406422027.

The spelling of 58294016 in words is "fifty-eight million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 163 176 254 256 326 352 508 652 704 1016 1304 1397 1408 1793 2032 2608 2794 2816 3586 4064 5216 5588 7172 8128 10432 11176 14344 16256 20701 20864 22352 28688 32512 41402 41728 44704 57376 82804 89408 114752 165608 178816 227711 229504 331216 357632 455422 459008 662432 910844 1324864 1821688 2649728 3643376 5299456 7286752 14573504 29147008 58294016