Search a number
-
+
2468928 = 263711167
BaseRepresentation
bin1001011010110001000000
311122102201210
421122301000
51113001203
6124530120
726662020
oct11326100
94572653
102468928
111436a40
129b0940
13685a07
14483a80
1533b803
hex25ac40

2468928 has 112 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 637440.

The previous prime is 2468909. The next prime is 2468951. The reversal of 2468928 is 8298642.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14701 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

22468928 is an apocalyptic number.

2468928 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 2468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

2468928 is an abundant number, since it is smaller than the sum of its proper divisors (5724096).

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

2468928 is a wasteful number, since it uses less digits than its factorization.

2468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2468928 is about 1571.2822789047. The cubic root of 2468928 is about 135.1562525499.

The spelling of 2468928 in words is "two million, four hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 167 168 176 192 224 231 264 308 334 336 352 448 462 501 528 616 668 672 704 924 1002 1056 1169 1232 1336 1344 1837 1848 2004 2112 2338 2464 2672 3507 3674 3696 4008 4676 4928 5344 5511 7014 7348 7392 8016 9352 10688 11022 12859 14028 14696 14784 16032 18704 22044 25718 28056 29392 32064 37408 38577 44088 51436 56112 58784 74816 77154 88176 102872 112224 117568 154308 176352 205744 224448 308616 352704 411488 617232 822976 1234464 2468928