Search a number
-
+
53017872 = 2435997193
BaseRepresentation
bin1100101000111…
…1110100010000
310200202120211220
43022033310100
5102033032442
65132205040
71212434025
oct312176420
9120676756
1053017872
1127a22126
1215909780
13aca3c2b
14708154c
1549c3eec
hex328fd10

53017872 has 80 divisors (see below), whose sum is σ = 141449280. Its totient is φ = 17104896.

The previous prime is 53017871. The next prime is 53017873. The reversal of 53017872 is 27871035.

It is an interprime number because it is at equal distance from previous prime (53017871) and next prime (53017873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53017871) 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, 274608 + ... + 274800.

It is an arithmetic number, because the mean of its divisors is an integer number (1768116).

Almost surely, 253017872 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 53017872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70724640).

53017872 is an abundant number, since it is smaller than the sum of its proper divisors (88431408).

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

53017872 is a wasteful number, since it uses less digits than its factorization.

53017872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 53017872 is about 7281.3372398207. The cubic root of 53017872 is about 375.6707922740.

The spelling of 53017872 in words is "fifty-three million, seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 97 118 177 193 194 236 291 354 386 388 472 579 582 708 772 776 944 1158 1164 1416 1544 1552 2316 2328 2832 3088 4632 4656 5723 9264 11387 11446 17169 18721 22774 22892 34161 34338 37442 45548 45784 56163 68322 68676 74884 91096 91568 112326 136644 137352 149768 182192 224652 273288 274704 299536 449304 546576 898608 1104539 2209078 3313617 4418156 6627234 8836312 13254468 17672624 26508936 53017872