Search a number
-
+
2442772395 = 325771239457
BaseRepresentation
bin1001000110011001…
…1011111110101011
320022020111200202200
42101212123332223
520000322204040
61042221031243
7114351136260
oct22146337653
96266450680
102442772395
111043977068
125820b5523
132cc11336b
141925d5267
15e46c4630
hex9199bfab

2442772395 has 96 divisors (see below), whose sum is σ = 4938485760. Its totient is φ = 1093962240.

The previous prime is 2442772391. The next prime is 2442772427. The reversal of 2442772395 is 5932772442.

It is not a de Polignac number, because 2442772395 - 22 = 2442772391 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2442772395.

It is not an unprimeable number, because it can be changed into a prime (2442772391) 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 95 ways as a sum of consecutive naturals, for example, 5345007 + ... + 5345463.

It is an arithmetic number, because the mean of its divisors is an integer number (51442560).

Almost surely, 22442772395 is an apocalyptic number.

2442772395 is an abundant number, since it is smaller than the sum of its proper divisors (2495713365).

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

2442772395 is a wasteful number, since it uses less digits than its factorization.

2442772395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2442772395 is about 49424.4109221344. The cubic root of 2442772395 is about 1346.7727934925.

The spelling of 2442772395 in words is "two billion, four hundred forty-two million, seven hundred seventy-two thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 239 315 355 457 497 639 717 1065 1195 1371 1491 1673 2151 2285 2485 3195 3199 3585 4113 4473 5019 6855 7455 8365 9597 10755 15057 15995 16969 20565 22365 25095 28791 32447 47985 50907 75285 84845 97341 109223 118783 143955 152721 162235 227129 254535 292023 327669 356349 486705 546115 593915 681387 763605 764561 983007 1069047 1135645 1460115 1638345 1781745 2044161 2293683 3406935 3822805 4915035 5345235 6881049 7754833 10220805 11468415 23264499 34405245 38774165 54283831 69793497 116322495 162851493 271419155 348967485 488554479 814257465 2442772395