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58865040 = 243251319331
BaseRepresentation
bin1110000010001…
…1010110010000
311002202122122200
43200203112100
5110032140130
65501403200
71313226123
oct340432620
9132678580
1058865040
11302561a3
1217869500
13c2704b0
147b643ba
15527b760
hex3823590

58865040 has 240 divisors, whose sum is σ = 224777280. Its totient is φ = 13685760.

The previous prime is 58865017. The next prime is 58865057. The reversal of 58865040 is 4056885.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58864986 and 58865004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177675 + ... + 178005.

It is an arithmetic number, because the mean of its divisors is an integer number (936572).

Almost surely, 258865040 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 58865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112388640).

58865040 is an abundant number, since it is smaller than the sum of its proper divisors (165912240).

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

58865040 is a wasteful number, since it uses less digits than its factorization.

58865040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 58865040 is about 7672.3555704881. The cubic root of 58865040 is about 389.0025794883.

The spelling of 58865040 in words is "fifty-eight million, eight hundred sixty-five thousand, forty".