Search a number
-
+
23509248 = 28374373
BaseRepresentation
bin101100110101…
…1100100000000
31122020101121220
41121223210000
522004243443
62155515040
7403553040
oct131534400
948211556
1023509248
11122a7934
127a58a80
134b417c9
14319d720
1520e5a83
hex166b900

23509248 has 72 divisors (see below), whose sum is σ = 71523648. Its totient is φ = 6715392.

The previous prime is 23509237. The next prime is 23509273. The reversal of 23509248 is 84290532.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3190 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (993384).

Almost surely, 223509248 is an apocalyptic number.

23509248 is a gapful number since it is divisible by the number (28) 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 23509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761824).

23509248 is an abundant number, since it is smaller than the sum of its proper divisors (48014400).

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

23509248 is an equidigital number, since it uses as much as digits as its factorization.

23509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 23509248 is about 4848.6336219599. The cubic root of 23509248 is about 286.4702843431.

The spelling of 23509248 in words is "twenty-three million, five hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 4373 5376 8746 13119 17492 26238 30611 34984 52476 61222 69968 91833 104952 122444 139936 183666 209904 244888 279872 367332 419808 489776 559744 734664 839616 979552 1119488 1469328 1679232 1959104 2938656 3358464 3918208 5877312 7836416 11754624 23509248