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2551604244 = 2237247127727
BaseRepresentation
bin1001100000010110…
…0110010000010100
320120211021220222220
42120011212100110
520211202313434
61101105422340
7120142164300
oct23005462024
96524256886
102551604244
11109a350042
125b263a9b0
13318829ac7
141a2c44d00
15ee020d49
hex98166414

2551604244 has 144 divisors (see below), whose sum is σ = 7138639872. Its totient is φ = 706926528.

The previous prime is 2551604243. The next prime is 2551604287. The reversal of 2551604244 is 4424061552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551604243) 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 47 ways as a sum of consecutive naturals, for example, 3509409 + ... + 3510135.

It is an arithmetic number, because the mean of its divisors is an integer number (49573888).

Almost surely, 22551604244 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 2551604244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569319936).

2551604244 is an abundant number, since it is smaller than the sum of its proper divisors (4587035628).

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

2551604244 is a wasteful number, since it uses less digits than its factorization.

2551604244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2551604244 is about 50513.4065768683. The cubic root of 2551604244 is about 1366.4836465075.

Adding to 2551604244 its reverse (4424061552), we get a palindrome (6975665796).

The spelling of 2551604244 in words is "two billion, five hundred fifty-one million, six hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 127 141 147 188 196 254 282 294 329 381 508 564 588 658 727 762 889 987 1316 1454 1524 1778 1974 2181 2303 2667 2908 3556 3948 4362 4606 5089 5334 5969 6223 6909 8724 9212 10178 10668 11938 12446 13818 15267 17907 18669 20356 23876 24892 27636 30534 34169 35623 35814 37338 41783 61068 68338 71246 71628 74676 83566 92329 102507 106869 125349 136676 142492 167132 184658 205014 213738 239183 250698 276987 292481 369316 410028 427476 478366 501396 553974 584962 646303 717549 877443 956732 1107948 1169924 1292606 1435098 1674281 1754886 1938909 2585212 2870196 3348562 3509772 3877818 4339463 4524121 5022843 6697124 7755636 8678926 9048242 10045686 13018389 13572363 17357852 18096484 20091372 26036778 27144726 30376241 52073556 54289452 60752482 91128723 121504964 182257446 212633687 364514892 425267374 637901061 850534748 1275802122 2551604244