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5104304244 = 223213127157547
BaseRepresentation
bin1001100000011110…
…11000000001110100
3111011201122112002100
410300033120001310
540423200213434
62202254542100
7240326604324
oct46017300164
914151575070
105104304244
11218a279366
12ba5507930
1363464b590
14365c93284
151ed1ab699
hex1303d8074

5104304244 has 144 divisors (see below), whose sum is σ = 14119426048. Its totient is φ = 1545433344.

The previous prime is 5104304243. The next prime is 5104304291. The reversal of 5104304244 is 4424034015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104304243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9331179 + ... + 9331725.

Almost surely, 25104304244 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 5104304244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059713024).

5104304244 is an abundant number, since it is smaller than the sum of its proper divisors (9015121804).

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

5104304244 is a wasteful number, since it uses less digits than its factorization.

5104304244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

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

The square root of 5104304244 is about 71444.4136654504. The cubic root of 5104304244 is about 1721.7847262525.

Adding to 5104304244 its reverse (4424034015), we get a palindrome (9528338259).

The spelling of 5104304244 in words is "five billion, one hundred four million, three hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 157 234 254 314 381 468 471 508 547 628 762 942 1094 1143 1413 1524 1641 1651 1884 2041 2188 2286 2826 3282 3302 4082 4572 4923 4953 5652 6123 6564 6604 7111 8164 9846 9906 12246 14222 14859 18369 19692 19812 19939 21333 24492 28444 29718 36738 39878 42666 59436 59817 63999 69469 73476 79756 85332 85879 119634 127998 138938 171758 179451 208407 239268 255996 257637 259207 277876 343516 358902 416814 515274 518414 625221 717804 772911 777621 833628 903097 1030548 1036828 1116427 1250442 1545822 1555242 1806194 2232854 2332863 2500884 2709291 3091644 3110484 3349281 3612388 4465708 4665726 5418582 6698562 8127873 9331452 10047843 10837164 10906633 13397124 16255746 20095686 21813266 32511492 32719899 40191372 43626532 65439798 98159697 130879596 141786229 196319394 283572458 392638788 425358687 567144916 850717374 1276076061 1701434748 2552152122 5104304244