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58484216 = 23717232671
BaseRepresentation
bin1101111100011…
…0010111111000
311002001022021002
43133012113320
5104432443331
65445304132
71310051630
oct337062770
9132038232
1058484216
113001606a
1217705048
13c16905b
147aa56c0
1552039cb
hex37c65f8

58484216 has 64 divisors (see below), whose sum is σ = 138516480. Its totient is φ = 22556160.

The previous prime is 58484201. The next prime is 58484219. The reversal of 58484216 is 61248485.

It is a happy number.

It is a super-2 number, since 2×584842162 = 6840807042269312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58484216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58484219) 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, 20561 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (2164320).

Almost surely, 258484216 is an apocalyptic number.

58484216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58484216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69258240).

58484216 is an abundant number, since it is smaller than the sum of its proper divisors (80032264).

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

58484216 is a wasteful number, since it uses less digits than its factorization.

58484216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2720 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 58484216 is about 7647.4973684206. The cubic root of 58484216 is about 388.1618873114.

The spelling of 58484216 in words is "fifty-eight million, four hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 644 782 952 1288 1564 2671 2737 3128 5342 5474 10684 10948 18697 21368 21896 37394 45407 61433 74788 90814 122866 149576 181628 245732 317849 363256 430031 491464 635698 860062 1044361 1271396 1720124 2088722 2542792 3440248 4177444 7310527 8354888 14621054 29242108 58484216