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152922 = 23711331
BaseRepresentation
bin100101010101011010
321202202210
4211111122
514343142
63135550
71204560
oct452532
9252683
10152922
11a4990
12745b6
13547b3
143da30
153049c
hex2555a

152922 has 32 divisors (see below), whose sum is σ = 382464. Its totient is φ = 39600.

The previous prime is 152909. The next prime is 152939. The reversal of 152922 is 229251.

152922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152922.

It is an unprimeable number.

152922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (11952).

2152922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191232).

152922 is an abundant number, since it is smaller than the sum of its proper divisors (229542).

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

152922 is a wasteful number, since it uses less digits than its factorization.

152922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its digits is 360, while the sum is 21.

The square root of 152922 is about 391.0524261528. The cubic root of 152922 is about 53.4757219451.

It can be divided in two parts, 1529 and 22, that added together give a palindrome (1551).

The spelling of 152922 in words is "one hundred fifty-two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 331 462 662 993 1986 2317 3641 4634 6951 7282 10923 13902 21846 25487 50974 76461 152922