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58929472 = 267199661
BaseRepresentation
bin1110000011001…
…1000101000000
311002212221001001
43200303011000
5110041220342
65503021344
71313615020
oct340630500
9132787031
1058929472
113029a648
121789a854
13c293914
147b7da80
1552908b7
hex3833140

58929472 has 56 divisors (see below), whose sum is σ = 134518400. Its totient is φ = 25090560.

The previous prime is 58929461. The next prime is 58929487. The reversal of 58929472 is 27492985.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between odd and even.

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, 88822 + ... + 89482.

Almost surely, 258929472 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 58929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67259200).

58929472 is an abundant number, since it is smaller than the sum of its proper divisors (75588928).

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

58929472 is a wasteful number, since it uses less digits than its factorization.

58929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 58929472 is about 7676.5533932879. The cubic root of 58929472 is about 389.1444581251.

The spelling of 58929472 in words is "fifty-eight million, nine hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 661 796 1322 1393 1592 2644 2786 3184 4627 5288 5572 6368 9254 10576 11144 12736 18508 21152 22288 37016 42304 44576 74032 89152 131539 148064 263078 296128 526156 920773 1052312 1841546 2104624 3683092 4209248 7366184 8418496 14732368 29464736 58929472