Search a number
-
+
145828617 = 31129152381
BaseRepresentation
bin10001011000100…
…10101100001001
3101011101212020220
420230102230021
5244313003432
622245340253
73420344214
oct1054225411
9334355226
10145828617
1175353220
1240a07689
132429b32c
141552077b
15cc0872c
hex8b12b09

145828617 has 16 divisors (see below), whose sum is σ = 219430080. Its totient is φ = 85332800.

The previous prime is 145828597. The next prime is 145828621. The reversal of 145828617 is 716828541.

It is a cyclic number.

It is not a de Polignac number, because 145828617 - 27 = 145828489 is a prime.

It is a super-3 number, since 3×1458286173 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (145828637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75234 + ... + 77147.

It is an arithmetic number, because the mean of its divisors is an integer number (13714380).

Almost surely, 2145828617 is an apocalyptic number.

It is an amenable number.

145828617 is a deficient number, since it is larger than the sum of its proper divisors (73601463).

145828617 is a wasteful number, since it uses less digits than its factorization.

145828617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152424.

The product of its digits is 107520, while the sum is 42.

The square root of 145828617 is about 12075.9520121604. The cubic root of 145828617 is about 526.3576254469.

The spelling of 145828617 in words is "one hundred forty-five million, eight hundred twenty-eight thousand, six hundred seventeen".

Divisors: 1 3 11 29 33 87 319 957 152381 457143 1676191 4419049 5028573 13257147 48609539 145828617