Search a number
-
+
8914248 = 2332723769
BaseRepresentation
bin100010000000…
…010101001000
3121202220001100
4202000111020
54240223443
6515021400
7135525030
oct42002510
917686040
108914248
115039452
122b9a860
131b01605
1412808c0
15bb13d3
hex880548

8914248 has 96 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 2433024.

The previous prime is 8914247. The next prime is 8914253. The reversal of 8914248 is 8424198.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8914247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11208 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 28914248 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 8914248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

8914248 is an abundant number, since it is smaller than the sum of its proper divisors (19914552).

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

8914248 is a wasteful number, since it uses less digits than its factorization.

8914248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 804 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8914248 is about 2985.6737933003. The cubic root of 8914248 is about 207.3456383300.

The spelling of 8914248 in words is "eight million, nine hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 769 828 966 1288 1449 1538 1656 1932 2307 2898 3076 3864 4614 5383 5796 6152 6921 9228 10766 11592 13842 16149 17687 18456 21532 27684 32298 35374 43064 48447 53061 55368 64596 70748 96894 106122 123809 129192 141496 159183 193788 212244 247618 318366 371427 387576 424488 495236 636732 742854 990472 1114281 1273464 1485708 2228562 2971416 4457124 8914248