Search a number
-
+
57033216 = 293212377
BaseRepresentation
bin1101100110010…
…0001000000000
310222022120212100
43121210020000
5104100030331
65354230400
71261526412
oct331441000
9128276770
1057033216
112a214999
1217125400
13ba7b786
1478089b2
155018ae6
hex3664200

57033216 has 60 divisors (see below), whose sum is σ = 164615022. Its totient is φ = 19009536.

The previous prime is 57033203. The next prime is 57033217. The reversal of 57033216 is 61233075.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 1679616 = 7440^2 + 1296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57033216.

It is not an unprimeable number, because it can be changed into a prime (57033217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1581 + ... + 10796.

Almost surely, 257033216 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 57033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82307511).

57033216 is an abundant number, since it is smaller than the sum of its proper divisors (107581806).

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

57033216 is a wasteful number, since it uses less digits than its factorization.

57033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401 (or 12382 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 57033216 is about 7552.0338982290. The cubic root of 57033216 is about 384.9248540580.

The spelling of 57033216 in words is "fifty-seven million, thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 12377 24754 37131 49508 74262 99016 111393 148524 198032 222786 297048 396064 445572 594096 792128 891144 1188192 1584256 1782288 2376384 3168512 3564576 4752768 6337024 7129152 9505536 14258304 19011072 28516608 57033216