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58277072 = 24743741
BaseRepresentation
bin1101111001001…
…1110011010000
311001122210010002
43132103303100
5104404331242
65441025132
71305230000
oct336236320
9131583102
1058277072
112a994477
12176251a8
13c0c5999
147a50000
1551b2432
hex3793cd0

58277072 has 100 divisors (see below), whose sum is σ = 138582276. Its totient is φ = 23708160.

The previous prime is 58277059. The next prime is 58277081. The reversal of 58277072 is 27077285.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 32307856 = 5096^2 + 5684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1421372 + ... + 1421412.

Almost surely, 258277072 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 58277072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69291138).

58277072 is an abundant number, since it is smaller than the sum of its proper divisors (80305204).

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

58277072 is an equidigital number, since it uses as much as digits as its factorization.

58277072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 58277072 is about 7633.9421009070. The cubic root of 58277072 is about 387.7030710845.

The spelling of 58277072 in words is "fifty-eight million, two hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 41 49 56 74 82 98 112 148 164 196 259 287 296 328 343 392 518 574 592 656 686 784 1036 1148 1372 1517 1813 2009 2072 2296 2401 2744 3034 3626 4018 4144 4592 4802 5488 6068 7252 8036 9604 10619 12136 12691 14063 14504 16072 19208 21238 24272 25382 28126 29008 32144 38416 42476 50764 56252 74333 84952 88837 98441 101528 112504 148666 169904 177674 196882 203056 225008 297332 355348 393764 520331 594664 710696 787528 1040662 1189328 1421392 1575056 2081324 3642317 4162648 7284634 8325296 14569268 29138536 58277072