Search a number
-
+
152175264 = 2533314789
BaseRepresentation
bin10010001001000…
…00001010100000
3101121100022012220
421010200022200
5302424102024
623033351040
73525316443
oct1104401240
9347308186
10152175264
117899858a
1242b68480
13256b1047
14162d365a
15d55de79
hex91202a0

152175264 has 48 divisors (see below), whose sum is σ = 400750560. Its totient is φ = 50561280.

The previous prime is 152175263. The next prime is 152175301. The reversal of 152175264 is 462571251.

152175264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (152175263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29382 + ... + 34170.

It is an arithmetic number, because the mean of its divisors is an integer number (8348970).

Almost surely, 2152175264 is an apocalyptic number.

It is an amenable number.

152175264 is an abundant number, since it is smaller than the sum of its proper divisors (248575296).

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

152175264 is a wasteful number, since it uses less digits than its factorization.

152175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5125 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 152175264 is about 12335.9338519627. The cubic root of 152175264 is about 533.8853714595.

The spelling of 152175264 in words is "one hundred fifty-two million, one hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 4789 5296 7944 9578 10592 14367 15888 19156 28734 31776 38312 57468 76624 114936 153248 229872 459744 1585159 3170318 4755477 6340636 9510954 12681272 19021908 25362544 38043816 50725088 76087632 152175264