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2532623232 = 273531071163
BaseRepresentation
bin1001011011110100…
…1100001110000000
320112111120120221110
42112331030032000
520141322420412
61055150523320
7116521641126
oct22675141600
96474516843
102532623232
11108a666357
125a8206540
13314912439
141a0503916
15ec521d3c
hex96f4c380

2532623232 has 128 divisors (see below), whose sum is σ = 6924216960. Its totient is φ = 819832832.

The previous prime is 2532623167. The next prime is 2532623251. The reversal of 2532623232 is 2323262352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×25326232322 = 12828360870532251648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2532623232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177083 + ... + 2178245.

It is an arithmetic number, because the mean of its divisors is an integer number (54095445).

Almost surely, 22532623232 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 2532623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462108480).

2532623232 is an abundant number, since it is smaller than the sum of its proper divisors (4391593728).

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

2532623232 is a wasteful number, since it uses less digits than its factorization.

2532623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 2532623232 is about 50325.1749326319. The cubic root of 2532623232 is about 1363.0868522324.

Adding to 2532623232 its reverse (2323262352), we get a palindrome (4855885584).

The spelling of 2532623232 in words is "two billion, five hundred thirty-two million, six hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 107 128 159 192 212 214 318 321 384 424 428 636 642 848 856 1163 1272 1284 1696 1712 2326 2544 2568 3392 3424 3489 4652 5088 5136 5671 6784 6848 6978 9304 10176 10272 11342 13696 13956 17013 18608 20352 20544 22684 27912 34026 37216 41088 45368 55824 61639 68052 74432 90736 111648 123278 124441 136104 148864 181472 184917 223296 246556 248882 272208 362944 369834 373323 446592 493112 497764 544416 725888 739668 746646 986224 995528 1088832 1479336 1493292 1972448 1991056 2177664 2958672 2986584 3944896 3982112 5917344 5973168 6595373 7889792 7964224 11834688 11946336 13190746 15928448 19786119 23669376 23892672 26381492 39572238 47785344 52762984 79144476 105525968 158288952 211051936 316577904 422103872 633155808 844207744 1266311616 2532623232