Search a number
-
+
469248 = 2831347
BaseRepresentation
bin1110010100100000000
3212211200120
41302210000
5110003443
614020240
73663033
oct1624400
9784616
10469248
112a060a
121a7680
13135780
14c301a
1594083
hex72900

469248 has 72 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 141312.

The previous prime is 469241. The next prime is 469253. The reversal of 469248 is 842964.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 469248.

It is not an unprimeable number, because it can be changed into a prime (469241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9961 + ... + 10007.

469248 is a Friedman number, since it can be written as 624*94*8, using all its digits and the basic arithmetic operations.

2469248 is an apocalyptic number.

469248 is a gapful number since it is divisible by the number (48) 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 469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

469248 is an abundant number, since it is smaller than the sum of its proper divisors (904320).

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

469248 is a wasteful number, since it uses less digits than its factorization.

469248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 469248 is about 685.0167881154. The cubic root of 469248 is about 77.7083122777.

It can be divided in two parts, 469 and 248, that added together give a palindrome (717).

The spelling of 469248 in words is "four hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 256 282 312 376 384 416 564 611 624 752 768 832 1128 1222 1248 1504 1664 1833 2256 2444 2496 3008 3328 3666 4512 4888 4992 6016 7332 9024 9776 9984 12032 14664 18048 19552 29328 36096 39104 58656 78208 117312 156416 234624 469248