Search a number
-
+
6252755676 = 22319314121577
BaseRepresentation
bin1011101001011000…
…10111101011011100
3121010202122220021120
411310230113223130
5100301201140201
62512242130540
7310643355246
oct56454275334
917122586246
106252755676
112719576982
121266050a50
1378856483b
14434605096
15268e13536
hex174b17adc

6252755676 has 96 divisors (see below), whose sum is σ = 16240465920. Its totient is φ = 1864166400.

The previous prime is 6252755671. The next prime is 6252755681. The reversal of 6252755676 is 6765572526.

It is an interprime number because it is at equal distance from previous prime (6252755671) and next prime (6252755681).

It is a super-3 number, since 3×62527556763 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6252755671) 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, 279000 + ... + 300576.

It is an arithmetic number, because the mean of its divisors is an integer number (169171520).

Almost surely, 26252755676 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 6252755676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120232960).

6252755676 is an abundant number, since it is smaller than the sum of its proper divisors (9987710244).

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

6252755676 is a wasteful number, since it uses less digits than its factorization.

6252755676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21675 (or 21673 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 51.

The square root of 6252755676 is about 79074.3680088561. The cubic root of 6252755676 is about 1842.2864294673.

The spelling of 6252755676 in words is "six billion, two hundred fifty-two million, seven hundred fifty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 31 38 41 57 62 76 82 93 114 123 124 164 186 228 246 372 492 589 779 1178 1271 1558 1767 2337 2356 2542 3116 3534 3813 4674 5084 7068 7626 9348 15252 21577 24149 43154 48298 64731 72447 86308 96596 129462 144894 258924 289788 409963 668887 819926 884657 1229889 1337774 1639852 1769314 2006661 2459778 2653971 2675548 3538628 4013322 4919556 5307942 8026644 10615884 12708853 16808483 25417706 27424367 33616966 38126559 50425449 50835412 54848734 67233932 76253118 82273101 100850898 109697468 152506236 164546202 201701796 329092404 521062973 1042125946 1563188919 2084251892 3126377838 6252755676