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24968304 = 2433291993
BaseRepresentation
bin101111100111…
…1110001110000
31201222112002000
41133033301300
522342441204
62251054000
7422140614
oct137176160
951875060
1024968304
1113104069
128441300
13523295a
14345d344
1522d3039
hex17cfc70

24968304 has 80 divisors (see below), whose sum is σ = 74176800. Its totient is φ = 8031744.

The previous prime is 24968267. The next prime is 24968329. The reversal of 24968304 is 40386942.

It is a happy number.

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

It is a congruent number.

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, 11532 + ... + 13524.

It is an arithmetic number, because the mean of its divisors is an integer number (927210).

Almost surely, 224968304 is an apocalyptic number.

24968304 is a gapful number since it is divisible by the number (24) 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 24968304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088400).

24968304 is an abundant number, since it is smaller than the sum of its proper divisors (49208496).

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

24968304 is a wasteful number, since it uses less digits than its factorization.

24968304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 24968304 is about 4996.8293947262. The cubic root of 24968304 is about 292.2781486726.

The spelling of 24968304 in words is "twenty-four million, nine hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 1993 2088 3132 3986 4176 5979 6264 7972 11958 12528 15944 17937 23916 31888 35874 47832 53811 57797 71748 95664 107622 115594 143496 173391 215244 231188 286992 346782 430488 462376 520173 693564 860976 924752 1040346 1387128 1560519 2080692 2774256 3121038 4161384 6242076 8322768 12484152 24968304