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264152 = 2375389
BaseRepresentation
bin1000000011111011000
3111102100102
41000133120
531423102
65354532
72150060
oct1003730
9442312
10264152
11170509
12108a48
1393305
146c3a0
1553402
hex407d8

264152 has 32 divisors (see below), whose sum is σ = 583200. Its totient is φ = 109824.

The previous prime is 264139. The next prime is 264167. The reversal of 264152 is 251462.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

264152 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 7 ways as a sum of consecutive naturals, for example, 2924 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2264152 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 264152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600).

264152 is an abundant number, since it is smaller than the sum of its proper divisors (319048).

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

264152 is a wasteful number, since it uses less digits than its factorization.

264152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 264152 is about 513.9571966614. The cubic root of 264152 is about 64.1629959857.

The spelling of 264152 in words is "two hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 53 56 89 106 178 212 356 371 424 623 712 742 1246 1484 2492 2968 4717 4984 9434 18868 33019 37736 66038 132076 264152