Search a number
-
+
2750838930 = 2325725411153
BaseRepresentation
bin1010001111110110…
…0111100010010010
321002201012002121100
42203331213202102
521113203321210
61132544005230
7125111513400
oct24375474222
97081162540
102750838930
111191860004
12649300816
1334aba6958
141c14a8470
151117785c0
hexa3f67892

2750838930 has 144 divisors (see below), whose sum is σ = 8342492184. Its totient is φ = 627056640.

The previous prime is 2750838917. The next prime is 2750838931. The reversal of 2750838930 is 398380572.

2750838930 is a `hidden beast` number, since 27 + 508 + 38 + 93 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2408551929 + 342287001 = 49077^2 + 18501^2 .

It is a super-2 number, since 2×27508389302 = 15134229637607089800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2750838931) 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 71 ways as a sum of consecutive naturals, for example, 2385234 + ... + 2386386.

Almost surely, 22750838930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2750838930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171246092).

2750838930 is an abundant number, since it is smaller than the sum of its proper divisors (5591653254).

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

2750838930 is a wasteful number, since it uses less digits than its factorization.

2750838930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2750838930 is about 52448.4406822548. The cubic root of 2750838930 is about 1401.1621184098.

The spelling of 2750838930 in words is "two billion, seven hundred fifty million, eight hundred thirty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 541 630 735 882 1082 1153 1470 1623 2205 2306 2705 3246 3459 3787 4410 4869 5410 5765 6918 7574 8071 8115 9738 10377 11361 11530 16142 16230 17295 18935 20754 22722 24213 24345 26509 34083 34590 37870 40355 48426 48690 51885 53018 56497 56805 68166 72639 79527 80710 103770 112994 113610 121065 132545 145278 159054 169491 170415 238581 242130 265090 282485 338982 340830 363195 397635 477162 508473 564970 623773 726390 795270 847455 1016946 1192905 1247546 1694910 1871319 2385810 2542365 3118865 3742638 4366411 5084730 5613957 6237730 8732822 9356595 11227914 13099233 18713190 21832055 26198466 28069785 30564877 39297699 43664110 56139570 61129754 65496165 78595398 91694631 130992330 152824385 183389262 196488495 275083893 305648770 392976990 458473155 550167786 916946310 1375419465 2750838930