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58138432 = 2611269307
BaseRepresentation
bin1101110111000…
…1111101000000
311001101201221021
43131301331000
5104340412212
65434035224
71304111542
oct335617500
9131351837
1058138432
112a8aa2a0
1217578b14
13c077851
147a15692
155186307
hex3771f40

58138432 has 56 divisors (see below), whose sum is σ = 126735840. Its totient is φ = 26242560.

The previous prime is 58138427. The next prime is 58138439. The reversal of 58138432 is 23483185.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58138439) 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, 189223 + ... + 189529.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 258138432 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 58138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63367920).

58138432 is an abundant number, since it is smaller than the sum of its proper divisors (68597408).

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

58138432 is a wasteful number, since it uses less digits than its factorization.

58138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 58138432 is about 7624.8561953653. The cubic root of 58138432 is about 387.3953809835.

The spelling of 58138432 in words is "fifty-eight million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 269 307 352 538 614 704 1076 1228 2152 2456 2959 3377 4304 4912 5918 6754 8608 9824 11836 13508 17216 19648 23672 27016 47344 54032 82583 94688 108064 165166 189376 216128 330332 660664 908413 1321328 1816826 2642656 3633652 5285312 7267304 14534608 29069216 58138432