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152608 = 2519251
BaseRepresentation
bin100101010000100000
321202100011
4211100200
514340413
63134304
71203631
oct452040
9252304
10152608
11a4725
1274394
1354601
143d888
153033d
hex25420

152608 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 72000.

The previous prime is 152599. The next prime is 152617. The reversal of 152608 is 806251.

Adding to 152608 its reverse (806251), we get a palindrome (958859).

It can be divided in two parts, 152 and 608, that multiplied together give a square (92416 = 3042).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152599) and next prime (152617).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

152608 is a Friedman number, since it can be written as 608*251, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 251608 (with its own digits).

2152608 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 152608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

152608 is an abundant number, since it is smaller than the sum of its proper divisors (164912).

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

152608 is a wasteful number, since it uses less digits than its factorization.

152608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 152608 is about 390.6507391520. The cubic root of 152608 is about 53.4390956855.

The spelling of 152608 in words is "one hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 251 304 502 608 1004 2008 4016 4769 8032 9538 19076 38152 76304 152608