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58296640 = 265182177
BaseRepresentation
bin1101111001100…
…0100101000000
311001200202221211
43132120211000
5104410443030
65441255504
71305341023
oct336304500
9131622854
1058296640
112a9a8146
1217634594
13c10186c
147a571ba
1551b812a
hex3798940

58296640 has 28 divisors (see below), whose sum is σ = 138819636. Its totient is φ = 23318528.

The previous prime is 58296631. The next prime is 58296649. The reversal of 58296640 is 4669285.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58296631) and next prime (58296649).

It can be written as a sum of positive squares in 2 ways, for example, as 40857664 + 17438976 = 6392^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 58296593 and 58296602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58296649) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 90769 + ... + 91408.

Almost surely, 258296640 is an apocalyptic number.

It is an amenable number.

58296640 is an abundant number, since it is smaller than the sum of its proper divisors (80522996).

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

58296640 is a wasteful number, since it uses less digits than its factorization.

58296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182194 (or 182184 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 58296640 is about 7635.2236378511. The cubic root of 58296640 is about 387.7464599306.

The spelling of 58296640 in words is "fifty-eight million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 182177 364354 728708 910885 1457416 1821770 2914832 3643540 5829664 7287080 11659328 14574160 29148320 58296640