Search a number
-
+
57204200 = 23522291249
BaseRepresentation
bin1101101000110…
…1110111101000
310222122021102002
43122031313220
5104121013300
65402030132
71263141044
oct332156750
9128567362
1057204200
112a3213a9
12171a8348
13bb0b551
147851024
15504e5d5
hex368dde8

57204200 has 48 divisors (see below), whose sum is σ = 133687500. Its totient is φ = 22763520.

The previous prime is 57204179. The next prime is 57204209. The reversal of 57204200 is 240275.

It can be written as a sum of positive squares in 6 ways, for example, as 32741284 + 24462916 = 5722^2 + 4946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (57204209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45176 + ... + 46424.

Almost surely, 257204200 is an apocalyptic number.

57204200 is a gapful number since it is divisible by the number (50) 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 57204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66843750).

57204200 is an abundant number, since it is smaller than the sum of its proper divisors (76483300).

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

57204200 is a wasteful number, since it uses less digits than its factorization.

57204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 57204200 is about 7563.3458204686. The cubic root of 57204200 is about 385.3091349717.

Adding to 57204200 its reverse (240275), we get a palindrome (57444475).

The spelling of 57204200 in words is "fifty-seven million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1249 1832 2290 2498 4580 4996 5725 6245 9160 9992 11450 12490 22900 24980 31225 45800 49960 62450 124900 249800 286021 572042 1144084 1430105 2288168 2860210 5720420 7150525 11440840 14301050 28602100 57204200