Search a number
-
+
8252442 = 234112421
BaseRepresentation
bin11111011110110000011010
3120112021020000
4133132300122
54103034232
6452513430
7130100412
oct37366032
916467200
108252442
114727200
12291b876
13192c303
14114b642
15ad027c
hex7dec1a

8252442 has 60 divisors (see below), whose sum is σ = 20373738. Its totient is φ = 2494800.

The previous prime is 8252411. The next prime is 8252459. The reversal of 8252442 is 2442528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8242641 + 9801 = 2871^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19392 + ... + 19812.

Almost surely, 28252442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186869).

8252442 is an abundant number, since it is smaller than the sum of its proper divisors (12121296).

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

8252442 is a wasteful number, since it uses less digits than its factorization.

8252442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 8252442 is about 2872.7063894523. The cubic root of 8252442 is about 202.0819358484.

The spelling of 8252442 in words is "eight million, two hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 421 594 726 842 891 1089 1263 1782 2178 2526 3267 3789 4631 6534 7578 9262 9801 11367 13893 19602 22734 27786 34101 41679 50941 68202 83358 101882 125037 152823 250074 305646 375111 458469 750222 916938 1375407 2750814 4126221 8252442