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23648048 = 2423179359
BaseRepresentation
bin101101000110…
…1011100110000
31122111110000122
41122031130300
522023214143
62202505412
7405001514
oct132153460
948443018
1023648048
1112392146
127b05268
134b8ca38
1431d8144
152121c68
hex168d730

23648048 has 40 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 11215424.

The previous prime is 23648011. The next prime is 23648063. The reversal of 23648048 is 84084632.

It is a junction number, because it is equal to n+sod(n) for n = 23647999 and 23648017.

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, 65693 + ... + 66051.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 223648048 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 23648048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

23648048 is an abundant number, since it is smaller than the sum of its proper divisors (24563152).

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

23648048 is a wasteful number, since it uses less digits than its factorization.

23648048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 23648048 is about 4862.9258682402. The cubic root of 23648048 is about 287.0329576448.

It can be divided in two parts, 236 and 48048, that added together give a palindrome (48284).

The spelling of 23648048 in words is "twenty-three million, six hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 23 46 92 179 184 358 359 368 716 718 1432 1436 2864 2872 4117 5744 8234 8257 16468 16514 32936 33028 64261 65872 66056 128522 132112 257044 514088 1028176 1478003 2956006 5912012 11824024 23648048