Search a number
-
+
3055155246 = 2341113433067
BaseRepresentation
bin1011011000011001…
…1111100000101110
321212220210222010000
42312012133200232
522224104431441
61223054325130
7135465251103
oct26606374056
97786728100
103055155246
1113286123a0
127131b97a6
13398c56290
1420da82aaa
1512d33b2b6
hexb619f82e

3055155246 has 160 divisors (see below), whose sum is σ = 8232352128. Its totient is φ = 834442560.

The previous prime is 3055155239. The next prime is 3055155247. The reversal of 3055155246 is 6425515503.

3055155246 is a `hidden beast` number, since 30 + 551 + 55 + 24 + 6 = 666.

It is a super-2 number, since 2×30551552462 = 18667947154322641032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3055155246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055155247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 994605 + ... + 997671.

It is a vampire number, since it can be written as 5520655341 (with its own digits).

Almost surely, 23055155246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3055155246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116176064).

3055155246 is an abundant number, since it is smaller than the sum of its proper divisors (5177196882).

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

3055155246 is a wasteful number, since it uses less digits than its factorization.

3055155246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 3055155246 is about 55273.4587844835. The cubic root of 3055155246 is about 1451.0345761205.

The spelling of 3055155246 in words is "three billion, fifty-five million, one hundred fifty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 43 54 66 78 81 86 99 117 129 143 162 198 234 258 286 297 351 387 429 473 559 594 702 774 858 891 946 1053 1118 1161 1287 1419 1677 1782 2106 2322 2574 2838 3067 3354 3483 3861 4257 5031 6134 6149 6966 7722 8514 9201 10062 11583 12298 12771 15093 18402 18447 23166 25542 27603 30186 33737 36894 38313 39871 45279 55206 55341 67474 76626 79742 82809 90558 101211 110682 119613 131881 165618 166023 202422 239226 248427 263762 303633 332046 358839 395643 438581 496854 498069 607266 717678 791286 877162 910899 996138 1076517 1186929 1315743 1450691 1714453 1821798 2153034 2373858 2631486 2732697 2901382 3229551 3428906 3560787 3947229 4352073 5143359 5465394 6459102 7121574 7894458 8704146 10286718 10682361 11841687 13056219 15430077 18858983 21364722 23683374 26112438 30860154 35525061 37717966 39168657 46290231 56576949 71050122 78337314 92580462 113153898 117505971 138870693 169730847 235011942 277741386 339461694 509192541 1018385082 1527577623 3055155246