Search a number
-
+
6246628304 = 247293759881
BaseRepresentation
bin1011101000101001…
…11111101111010000
3121010100010121002212
411310110333233100
5100243114101204
62511502531252
7310540315220
oct56424775720
917110117085
106246628304
112716071334
121263b96b28
137871ca887
1443388c080
15268602c6e
hex17453fbd0

6246628304 has 160 divisors (see below), whose sum is σ = 14961542400. Its totient is φ = 2469519360.

The previous prime is 6246628301. The next prime is 6246628307. The reversal of 6246628304 is 4038266426.

It is an interprime number because it is at equal distance from previous prime (6246628301) and next prime (6246628307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6246628301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7089944 + ... + 7090824.

It is an arithmetic number, because the mean of its divisors is an integer number (93509640).

Almost surely, 26246628304 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 6246628304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480771200).

6246628304 is an abundant number, since it is smaller than the sum of its proper divisors (8714914096).

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

6246628304 is a wasteful number, since it uses less digits than its factorization.

6246628304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 6246628304 is about 79035.6141495718. The cubic root of 6246628304 is about 1841.6844514907.

The spelling of 6246628304 in words is "six billion, two hundred forty-six million, six hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 37 56 58 59 74 112 116 118 148 203 232 236 259 296 406 413 464 472 518 592 812 826 881 944 1036 1073 1624 1652 1711 1762 2072 2146 2183 3248 3304 3422 3524 4144 4292 4366 6167 6608 6844 7048 7511 8584 8732 11977 12334 13688 14096 15022 15281 17168 17464 23954 24668 25549 27376 30044 30562 32597 34928 47908 49336 51098 51979 60088 61124 63307 65194 95816 98672 102196 103958 120176 122248 126614 130388 178843 191632 204392 207916 228179 244496 253228 260776 357686 363853 408784 415832 443149 456358 506456 521552 715372 727706 831664 886298 912716 945313 1012912 1430744 1455412 1507391 1772596 1825432 1890626 1923223 2861488 2910824 3014782 3545192 3650864 3781252 3846446 5821648 6029564 6617191 7090384 7562504 7692892 10551737 12059128 13234382 13462561 15125008 15385784 21103474 24118256 26468764 26925122 30771568 42206948 52937528 53850244 55773467 84413896 105875056 107700488 111546934 168827792 215400976 223093868 390414269 446187736 780828538 892375472 1561657076 3123314152 6246628304