Search a number
-
+
58985216 = 281032237
BaseRepresentation
bin1110000100000…
…0101100000000
311002222202111122
43201000230000
5110100011331
65504131412
71314236363
oct341005400
9132882448
1058985216
1130328514
1217906b68
13c2b30c4
147b960da
1552a217b
hex3840b00

58985216 has 36 divisors (see below), whose sum is σ = 118936272. Its totient is φ = 29193216.

The previous prime is 58985203. The next prime is 58985221. The reversal of 58985216 is 61258985.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25250 + ... + 27486.

Almost surely, 258985216 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 58985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59468136).

58985216 is an abundant number, since it is smaller than the sum of its proper divisors (59951056).

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

58985216 is a wasteful number, since it uses less digits than its factorization.

58985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2342 counting only the distinct ones).

The product of its digits is 172800, while the sum is 44.

The square root of 58985216 is about 7680.1833311452. The cubic root of 58985216 is about 389.2671224535.

The spelling of 58985216 in words is "fifty-eight million, nine hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1648 2237 3296 4474 6592 8948 13184 17896 26368 35792 71584 143168 230411 286336 460822 572672 921644 1843288 3686576 7373152 14746304 29492608 58985216