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58805440 = 2651511217
BaseRepresentation
bin1110000001010…
…0110011000000
311002122121220021
43200110303000
5110023233230
65500223224
71312560301
oct340246300
9132577807
1058805440
1130215441
121783ab14
13c24c325
147b4a7a8
155268c7a
hex3814cc0

58805440 has 56 divisors (see below), whose sum is σ = 141073632. Its totient is φ = 23347200.

The previous prime is 58805429. The next prime is 58805441. The reversal of 58805440 is 4450885.

It is a junction number, because it is equal to n+sod(n) for n = 58805396 and 58805405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58805441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47712 + ... + 48928.

It is an arithmetic number, because the mean of its divisors is an integer number (2519172).

Almost surely, 258805440 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 58805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70536816).

58805440 is an abundant number, since it is smaller than the sum of its proper divisors (82268192).

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

58805440 is a wasteful number, since it uses less digits than its factorization.

58805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 58805440 is about 7668.4705124295. The cubic root of 58805440 is about 388.8712486632.

The spelling of 58805440 in words is "fifty-eight million, eight hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1208 1217 1510 2416 2434 3020 4832 4868 6040 6085 9664 9736 12080 12170 19472 24160 24340 38944 48320 48680 77888 97360 183767 194720 367534 389440 735068 918835 1470136 1837670 2940272 3675340 5880544 7350680 11761088 14701360 29402720 58805440