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58212416 = 26979377
BaseRepresentation
bin1101111000010…
…0000001000000
311001112111102102
43132010001000
5104400244131
65435405532
71304540333
oct336040100
9131474372
1058212416
112a94a939
12175b38a8
13c0a2422
147a3461a
15519d1cb
hex3784040

58212416 has 28 divisors (see below), whose sum is σ = 116718588. Its totient is φ = 28803072.

The previous prime is 58212377. The next prime is 58212443. The reversal of 58212416 is 61421285.

It can be written as a sum of positive squares in 2 ways, for example, as 15178816 + 43033600 = 3896^2 + 6560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1520 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (4168521).

Almost surely, 258212416 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 58212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359294).

58212416 is an abundant number, since it is smaller than the sum of its proper divisors (58506172).

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

58212416 is an equidigital number, since it uses as much as digits as its factorization.

58212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 9476 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 58212416 is about 7629.7061542369. The cubic root of 58212416 is about 387.5596378554.

The spelling of 58212416 in words is "fifty-eight million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 9377 18754 37508 75016 150032 300064 600128 909569 1819138 3638276 7276552 14553104 29106208 58212416