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58284040 = 2356132377
BaseRepresentation
bin1101111001010…
…1100000001000
311001200010200011
43132111200020
5104410042130
65441121304
71305256213
oct336254010
9131603604
1058284040
112a999731
1217629234
13c0c8bc9
147a5277a
1551b452a
hex3795808

58284040 has 32 divisors (see below), whose sum is σ = 131408280. Its totient is φ = 23265792.

The previous prime is 58284029. The next prime is 58284059. The reversal of 58284040 is 4048285.

It can be written as a sum of positive squares in 4 ways, for example, as 23639044 + 34644996 = 4862^2 + 5886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58283993 and 58284011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23332 + ... + 25708.

Almost surely, 258284040 is an apocalyptic number.

It is an amenable number.

58284040 is an abundant number, since it is smaller than the sum of its proper divisors (73124240).

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

58284040 is a wasteful number, since it uses less digits than its factorization.

58284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 58284040 is about 7634.3984700826. The cubic root of 58284040 is about 387.7185226006.

The spelling of 58284040 in words is "fifty-eight million, two hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 613 1226 2377 2452 3065 4754 4904 6130 9508 11885 12260 19016 23770 24520 47540 95080 1457101 2914202 5828404 7285505 11656808 14571010 29142020 58284040