Search a number
-
+
8480052 = 223473739
BaseRepresentation
bin100000010110…
…010100110100
3120221211110000
4200112110310
54132330202
6501431300
7132036120
oct40262464
916854400
108480052
114872209
122a0b530
1319abaa9
1411aa580
15b2791c
hex816534

8480052 has 60 divisors (see below), whose sum is σ = 25342240. Its totient is φ = 2422224.

The previous prime is 8480051. The next prime is 8480063. The reversal of 8480052 is 2500848.

It is a super-2 number, since 2×84800522 = 143822563845408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8479998 and 8480025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 399 + ... + 4137.

Almost surely, 28480052 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 8480052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671120).

8480052 is an abundant number, since it is smaller than the sum of its proper divisors (16862188).

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

8480052 is a wasteful number, since it uses less digits than its factorization.

8480052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8480052 is about 2912.0528841352. The cubic root of 8480052 is about 203.9229813064.

The spelling of 8480052 in words is "eight million, four hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 3739 7478 11217 14956 22434 26173 33651 44868 52346 67302 78519 100953 104692 134604 157038 201906 235557 302859 314076 403812 471114 605718 706671 942228 1211436 1413342 2120013 2826684 4240026 8480052