Search a number
-
+
242456896 = 26112131239
BaseRepresentation
bin11100111001110…
…01100101000000
3121220020002100001
432130321211000
5444032110041
640020405344
76002564263
oct1634714500
9556202301
10242456896
11114951500
1269246854
133b301226
14242b4cda
1516444131
hexe739940

242456896 has 84 divisors (see below), whose sum is σ = 535106880. Its totient is φ = 108908800.

The previous prime is 242456887. The next prime is 242456897. The reversal of 242456896 is 698654242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242456897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1014345 + ... + 1014583.

It is an arithmetic number, because the mean of its divisors is an integer number (6370320).

Almost surely, 2242456896 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 242456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).

242456896 is an abundant number, since it is smaller than the sum of its proper divisors (292649984).

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

242456896 is a wasteful number, since it uses less digits than its factorization.

242456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 242456896 is about 15571.0274548599. The cubic root of 242456896 is about 623.5599022581.

The spelling of 242456896 in words is "two hundred forty-two million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 131 176 239 242 262 352 478 484 524 704 956 968 1048 1441 1912 1936 2096 2629 2882 3824 3872 4192 5258 5764 7648 7744 8384 10516 11528 15296 15851 21032 23056 28919 31309 31702 42064 46112 57838 62618 63404 84128 92224 115676 125236 126808 168256 231352 250472 253616 344399 462704 500944 507232 688798 925408 1001888 1014464 1377596 1850816 2003776 2755192 3788389 5510384 7576778 11020768 15153556 22041536 30307112 60614224 121228448 242456896