Search a number
-
+
802152 = 233213857
BaseRepresentation
bin11000011110101101000
31111202100100
43003311220
5201132102
625105400
76550431
oct3036550
91452310
10802152
114a873a
12328260
13221160
1416c488
1510ca1c
hexc3d68

802152 has 48 divisors (see below), whose sum is σ = 2342340. Its totient is φ = 246528.

The previous prime is 802147. The next prime is 802159. The reversal of 802152 is 251208.

802152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 2916 = 894^2 + 54^2 .

It is a super-2 number, since 2×8021522 = 1286895662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508 + ... + 1364.

2802152 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 802152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171170).

802152 is an abundant number, since it is smaller than the sum of its proper divisors (1540188).

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

802152 is a wasteful number, since it uses less digits than its factorization.

802152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 802152 is about 895.6293876375. The cubic root of 802152 is about 92.9149413056.

The spelling of 802152 in words is "eight hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 857 936 1714 2571 3428 5142 6856 7713 10284 11141 15426 20568 22282 30852 33423 44564 61704 66846 89128 100269 133692 200538 267384 401076 802152