Search a number
-
+
9048420 = 22325172957
BaseRepresentation
bin100010100001…
…000101100100
3122000201002200
4202201011210
54304022140
6521534500
7136624143
oct42410544
918021080
109048420
115120237
123044430
131b4a6c4
1412b775a
15bdb030
hex8a1164

9048420 has 72 divisors (see below), whose sum is σ = 29071224. Its totient is φ = 2270208.

The previous prime is 9048379. The next prime is 9048443. The reversal of 9048420 is 248409.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 8259876 = 888^2 + 2874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (403767).

Almost surely, 29048420 is an apocalyptic number.

9048420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9048420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535612).

9048420 is an abundant number, since it is smaller than the sum of its proper divisors (20022804).

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

9048420 is a wasteful number, since it uses less digits than its factorization.

9048420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9048420 is about 3008.0591749499. The cubic root of 9048420 is about 208.3807436989.

The spelling of 9048420 in words is "nine million, forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2957 3060 5914 8871 11828 14785 17742 26613 29570 35484 44355 50269 53226 59140 88710 100538 106452 133065 150807 177420 201076 251345 266130 301614 452421 502690 532260 603228 754035 904842 1005380 1508070 1809684 2262105 3016140 4524210 9048420