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2532440241 = 331741123
BaseRepresentation
bin1001011011110001…
…1111100010110001
320112111020021221000
42112330133202301
520141301041431
61055142552213
7116520246462
oct22674374261
96474207830
102532440241
11108a550921
125a8138669
1331487a066
141a0496d69
15ec4d79e6
hex96f1f8b1

2532440241 has 40 divisors (see below), whose sum is σ = 3989795360. Its totient is φ = 1587567168.

The previous prime is 2532440219. The next prime is 2532440257. The reversal of 2532440241 is 1420442352.

2532440241 is a `hidden beast` number, since 253 + 2 + 4 + 402 + 4 + 1 = 666.

It is not a de Polignac number, because 2532440241 - 215 = 2532407473 is a prime.

It is a super-2 number, since 2×25324402412 = 12826507148472276162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2532440201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2254506 + ... + 2255628.

It is an arithmetic number, because the mean of its divisors is an integer number (99744884).

Almost surely, 22532440241 is an apocalyptic number.

It is an amenable number.

2532440241 is a deficient number, since it is larger than the sum of its proper divisors (1457355119).

2532440241 is an frugal number, since it uses more digits than its factorization.

2532440241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2532440241 is about 50323.3568137103. The cubic root of 2532440241 is about 1363.0540221571.

Adding to 2532440241 its reverse (1420442352), we get a palindrome (3952882593).

The spelling of 2532440241 in words is "two billion, five hundred thirty-two million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 51 153 289 459 867 1123 2601 3369 4913 7803 10107 14739 19091 30321 44217 57273 83521 132651 171819 250563 324547 515457 751689 973641 2255067 2920923 5517299 8762769 16551897 49655691 93794083 148967073 281382249 844146747 2532440241