[go: up one dir, main page]

Search a number
-
+
53444160 = 26325711241
BaseRepresentation
bin1100101111011…
…1111001000000
310201120020121100
43023313321000
5102140203120
65145254400
71216160610
oct313677100
9121506540
1053444160
1128193430
1215a94400
13b0c2c83
147152a40
154a5a490
hex32f7e40

53444160 has 336 divisors, whose sum is σ = 230136192. Its totient is φ = 11059200.

The previous prime is 53444159. The next prime is 53444161. The reversal of 53444160 is 6144435.

53444160 = T91 + T92 + ... + T684.

It is an interprime number because it is at equal distance from previous prime (53444159) and next prime (53444161).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53444161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221640 + ... + 221880.

Almost surely, 253444160 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 53444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115068096).

53444160 is an abundant number, since it is smaller than the sum of its proper divisors (176692032).

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

53444160 is a wasteful number, since it uses less digits than its factorization.

53444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53444160 is about 7310.5512788024. The cubic root of 53444160 is about 376.6749608776.

Adding to 53444160 its reverse (6144435), we get a palindrome (59588595).

The spelling of 53444160 in words is "fifty-three million, four hundred forty-four thousand, one hundred sixty".