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2532543432 = 2332341317353
BaseRepresentation
bin1001011011110011…
…1000101111001000
320112111102112110220
42112330320233020
520141312342212
61055145110040
7116521156356
oct22674705710
96474375426
102532543432
11108a611401
125a8188320
133148b5013
141a04c27d6
15ec50838c
hex96f38bc8

2532543432 has 128 divisors (see below), whose sum is σ = 6808354560. Its totient is φ = 783073280.

The previous prime is 2532543427. The next prime is 2532543469. The reversal of 2532543432 is 2343452352.

It is a junction number, because it is equal to n+sod(n) for n = 2532543393 and 2532543402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7174168 + ... + 7174520.

It is an arithmetic number, because the mean of its divisors is an integer number (53190270).

Almost surely, 22532543432 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 2532543432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404177280).

2532543432 is an abundant number, since it is smaller than the sum of its proper divisors (4275811128).

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

2532543432 is a wasteful number, since it uses less digits than its factorization.

2532543432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its digits is 86400, while the sum is 33.

The square root of 2532543432 is about 50324.3820826446. The cubic root of 2532543432 is about 1363.0725356571.

Adding to 2532543432 its reverse (2343452352), we get a palindrome (4875995784).

It can be divided in two parts, 253254 and 3432, that added together give a triangular number (256686 = T716).

The spelling of 2532543432 in words is "two billion, five hundred thirty-two million, five hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 317 328 353 492 552 634 706 943 951 984 1059 1268 1412 1886 1902 2118 2536 2824 2829 3772 3804 4236 5658 7291 7544 7608 8119 8472 11316 12997 14473 14582 16238 21873 22632 24357 25994 28946 29164 32476 38991 43419 43746 48714 51988 57892 58328 64952 77982 86838 87492 97428 103976 111901 115784 155964 173676 174984 194856 223802 298931 311928 332879 335703 347352 447604 597862 665758 671406 895208 896793 998637 1195724 1331516 1342812 1793586 1997274 2391448 2573723 2663032 2685624 3587172 3994548 4587941 5147446 7174344 7721169 7989096 9175882 10294892 13763823 15442338 18351764 20589784 27527646 30884676 36703528 55055292 61769352 105522643 110110584 211045286 316567929 422090572 633135858 844181144 1266271716 2532543432