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58518980 = 225131731301
BaseRepresentation
bin1101111100111…
…0110111000100
311002010001221122
43133032313010
5104440101410
65450133112
71310255162
oct337166704
9132101848
1058518980
113003a1a3
1217721198
13c17bb20
147ab4232
15520de55
hex37cedc4

58518980 has 48 divisors (see below), whose sum is σ = 133210224. Its totient is φ = 21465600.

The previous prime is 58518949. The next prime is 58518983. The reversal of 58518980 is 8981585.

It can be written as a sum of positive squares in 8 ways, for example, as 8844676 + 49674304 = 2974^2 + 7048^2 .

It is not an unprimeable number, because it can be changed into a prime (58518983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44330 + ... + 45630.

It is an arithmetic number, because the mean of its divisors is an integer number (2775213).

Almost surely, 258518980 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 58518980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66605112).

58518980 is an abundant number, since it is smaller than the sum of its proper divisors (74691244).

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

58518980 is a wasteful number, since it uses less digits than its factorization.

58518980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 44.

The square root of 58518980 is about 7649.7699311809. The cubic root of 58518980 is about 388.2387820587.

The spelling of 58518980 in words is "fifty-eight million, five hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1301 1730 2249 2602 3460 4498 5204 6505 8996 11245 13010 16913 22490 26020 33826 44980 67652 84565 169130 225073 338260 450146 900292 1125365 2250730 2925949 4501460 5851898 11703796 14629745 29259490 58518980