Search a number
-
+
121049448 = 233133831013
BaseRepresentation
bin1110011011100…
…01000101101000
322102202221121220
413031301011220
5221442040243
620002302040
72666621562
oct715610550
9272687556
10121049448
1162369273
1234657920
131c1037c0
1412110332
15a961783
hex7371168

121049448 has 64 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 37112064.

The previous prime is 121049447. The next prime is 121049471. The reversal of 121049448 is 844940121.

It is a super-2 number, since 2×1210494482 = 29305937722209408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121049443) 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 15 ways as a sum of consecutive naturals, for example, 118990 + ... + 120002.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2121049448 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 121049448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

121049448 is an abundant number, since it is smaller than the sum of its proper divisors (206026392).

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

121049448 is a wasteful number, since it uses less digits than its factorization.

121049448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 121049448 is about 11002.2474067801. The cubic root of 121049448 is about 494.6761109429.

Adding to 121049448 its reverse (844940121), we get a palindrome (965989569).

The spelling of 121049448 in words is "one hundred twenty-one million, forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 383 766 1013 1149 1532 2026 2298 3039 3064 4052 4596 4979 6078 8104 9192 9958 12156 13169 14937 19916 24312 26338 29874 39507 39832 52676 59748 79014 105352 119496 158028 316056 387979 775958 1163937 1551916 2327874 3103832 4655748 5043727 9311496 10087454 15131181 20174908 30262362 40349816 60524724 121049448