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455073138 = 232133752561
BaseRepresentation
bin11011000111111…
…101110101110010
31011201022002222200
4123013331311302
51412444320023
6113053444030
714164025562
oct3307756562
91151262880
10455073138
11213971203
121084a0616
1373384b60
144461cda2
1529e41743
hex1b1fdd72

455073138 has 48 divisors (see below), whose sum is σ = 1090556376. Its totient is φ = 136235520.

The previous prime is 455073137. The next prime is 455073139. The reversal of 455073138 is 831370554.

455073138 is a `hidden beast` number, since 4 + 550 + 73 + 1 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (455073137) and next prime (455073139).

It can be written as a sum of positive squares in 4 ways, for example, as 443397249 + 11675889 = 21057^2 + 3417^2 .

It is not an unprimeable number, because it can be changed into a prime (455073137) 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 23 ways as a sum of consecutive naturals, for example, 17623 + ... + 34938.

Almost surely, 2455073138 is an apocalyptic number.

455073138 is an abundant number, since it is smaller than the sum of its proper divisors (635483238).

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

455073138 is a wasteful number, since it uses less digits than its factorization.

455073138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52619 (or 52616 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 455073138 is about 21332.4433199763. The cubic root of 455073138 is about 769.1783769922.

The spelling of 455073138 in words is "four hundred fifty-five million, seventy-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 52561 105122 157683 315366 473049 683293 946098 1366586 1944757 2049879 3889514 4099758 5834271 6149637 11668542 12299274 17502813 25281841 35005626 50563682 75845523 151691046 227536569 455073138