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2532845568 = 21131123407
BaseRepresentation
bin1001011011111000…
…0010100000000000
320112111222212221010
42112332002200000
520141402024233
61055155400520
7116523555261
oct22676024000
96474885833
102532845568
11108a7a8400
125a82b3140
1331498c6b6
141a0560968
15ec567b63
hex96f82800

2532845568 has 144 divisors (see below), whose sum is σ = 7424464320. Its totient is φ = 767303680.

The previous prime is 2532845563. The next prime is 2532845573. The reversal of 2532845568 is 8655482352.

It is an interprime number because it is at equal distance from previous prime (2532845563) and next prime (2532845573).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2532845563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741721 + ... + 745127.

It is an arithmetic number, because the mean of its divisors is an integer number (51558780).

Almost surely, 22532845568 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 2532845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712232160).

2532845568 is an abundant number, since it is smaller than the sum of its proper divisors (4891618752).

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

2532845568 is a wasteful number, since it uses less digits than its factorization.

2532845568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3423 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

The square root of 2532845568 is about 50327.3838779645. The cubic root of 2532845568 is about 1363.1267389931.

It can be divided in two parts, 253284 and 5568, that added together give a palindrome (258852).

The spelling of 2532845568 in words is "two billion, five hundred thirty-two million, eight hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2048 2112 2816 2904 3072 3407 3872 4224 5632 5808 6144 6814 7744 8448 10221 11264 11616 13628 15488 16896 20442 22528 23232 27256 30976 33792 37477 40884 46464 54512 61952 67584 74954 81768 92928 109024 112431 123904 149908 163536 185856 218048 224862 247808 299816 327072 371712 412247 436096 449724 599632 654144 743424 824494 872192 899448 1199264 1236741 1308288 1648988 1744384 1798896 2398528 2473482 2616576 3297976 3488768 3597792 4797056 4946964 5233152 6595952 6977536 7195584 9594112 9893928 10466304 13191904 14391168 19188224 19787856 20932608 26383808 28782336 38376448 39575712 52767616 57564672 76752896 79151424 105535232 115129344 158302848 211070464 230258688 316605696 422140928 633211392 844281856 1266422784 2532845568