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122478489 = 3272172312
BaseRepresentation
bin1110100110011…
…01111110011001
322112110112220100
413103031332121
5222323302424
620053050013
73015023100
oct723157631
9275415810
10122478489
11631549a1
1235026909
131c4b40a3
14123a3037
15ab44dc9
hex74cdf99

122478489 has 81 divisors (see below), whose sum is σ = 225894591. Its totient is φ = 63745920.

The previous prime is 122478487. The next prime is 122478497. The reversal of 122478489 is 984874221.

The square root of 122478489 is 11067.

It is a perfect power (a square), and thus also a powerful number.

122478489 is a `hidden beast` number, since 122 + 47 + 8 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95355225 + 27123264 = 9765^2 + 5208^2 .

It is not a de Polignac number, because 122478489 - 21 = 122478487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122478487) 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 80 ways as a sum of consecutive naturals, for example, 3950904 + ... + 3950934.

Almost surely, 2122478489 is an apocalyptic number.

122478489 is the 11067-th square number.

122478489 is the 5534-th centered octagonal number.

It is an amenable number.

122478489 is a deficient number, since it is larger than the sum of its proper divisors (103416102).

122478489 is a wasteful number, since it uses less digits than its factorization.

122478489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The cubic root of 122478489 is about 496.6151222477.

It can be divided in two parts, 12247 and 8489, that added together give a 4-th power (20736 = 124).

The spelling of 122478489 in words is "one hundred twenty-two million, four hundred seventy-eight thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 17 21 31 49 51 63 93 119 147 153 217 279 289 357 441 527 651 833 867 961 1071 1519 1581 1953 2023 2499 2601 2883 3689 4557 4743 6069 6727 7497 8649 8959 11067 13671 14161 16337 18207 20181 25823 26877 33201 42483 47089 49011 60543 62713 77469 80631 114359 127449 141267 147033 188139 232407 277729 343077 423801 438991 564417 800513 833187 1029231 1316973 1944103 2401539 2499561 3950919 5832309 7204617 13608721 17496927 40826163 122478489