Search a number
-
+
242976786 = 231361223229
BaseRepresentation
bin11100111101110…
…00100000010010
3121221012111111020
432132320200102
5444200224121
640035500310
76010161063
oct1636704022
9557174436
10242976786
11115177068
1269457696
133b453a60
14243ac56a
15164e81c6
hexe7b8812

242976786 has 64 divisors (see below), whose sum is σ = 536632320. Its totient is φ = 72887040.

The previous prime is 242976779. The next prime is 242976821. The reversal of 242976786 is 687679242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060920 + ... + 1061148.

It is an arithmetic number, because the mean of its divisors is an integer number (8384880).

Almost surely, 2242976786 is an apocalyptic number.

242976786 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242976786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268316160).

242976786 is an abundant number, since it is smaller than the sum of its proper divisors (293655534).

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

242976786 is a wasteful number, since it uses less digits than its factorization.

242976786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its digits is 2032128, while the sum is 51.

The square root of 242976786 is about 15587.7126609391. The cubic root of 242976786 is about 624.0052750622.

The spelling of 242976786 in words is "two hundred forty-two million, nine hundred seventy-six thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 223 229 366 446 458 669 687 793 1338 1374 1586 2379 2899 2977 4758 5798 5954 8697 8931 13603 13969 17394 17862 27206 27938 40809 41907 51067 81618 83814 102134 153201 176839 181597 306402 353678 363194 530517 544791 663871 1061034 1089582 1327742 1991613 3115087 3983226 6230174 9345261 18690522 40496131 80992262 121488393 242976786