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23682048 = 210313593
BaseRepresentation
bin101101001010…
…1110000000000
31122120011122220
41122111300000
522030311143
62203331040
7405202605
oct132256000
948504586
1023682048
1112405745
127b20a80
134ba2360
1432066ac
15212bd83
hex1695c00

23682048 has 88 divisors (see below), whose sum is σ = 68091408. Its totient is φ = 7274496.

The previous prime is 23682017. The next prime is 23682053. The reversal of 23682048 is 84028632.

It is a congruent 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, 39640 + ... + 40232.

It is an arithmetic number, because the mean of its divisors is an integer number (773766).

Almost surely, 223682048 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 23682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045704).

23682048 is an abundant number, since it is smaller than the sum of its proper divisors (44409360).

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

23682048 is a wasteful number, since it uses less digits than its factorization.

23682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 23682048 is about 4866.4204503927. The cubic root of 23682048 is about 287.1704523932.

The spelling of 23682048 in words is "twenty-three million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 593 624 768 832 1024 1186 1248 1536 1664 1779 2372 2496 3072 3328 3558 4744 4992 6656 7116 7709 9488 9984 13312 14232 15418 18976 19968 23127 28464 30836 37952 39936 46254 56928 61672 75904 92508 113856 123344 151808 185016 227712 246688 303616 370032 455424 493376 607232 740064 910848 986752 1480128 1821696 1973504 2960256 3947008 5920512 7894016 11841024 23682048