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23903264 = 2571189109
BaseRepresentation
bin101101100101…
…1110000100000
31122222102010002
41123023300200
522104401024
62212155132
7410113550
oct133136040
948872102
1023903264
1112546970
128008aa8
134c4bc58
143263160
1521726ae
hex16cbc20

23903264 has 96 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 9123840.

The previous prime is 23903261. The next prime is 23903293. The reversal of 23903264 is 46230932.

It is not an unprimeable number, because it can be changed into a prime (23903261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219242 + ... + 219350.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 223903264 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 23903264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

23903264 is an abundant number, since it is smaller than the sum of its proper divisors (35971936).

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

23903264 is a wasteful number, since it uses less digits than its factorization.

23903264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 23903264 is about 4889.0964400388. The cubic root of 23903264 is about 288.0618437149.

The spelling of 23903264 in words is "twenty-three million, nine hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 89 109 112 154 176 178 218 224 308 352 356 436 616 623 712 763 872 979 1199 1232 1246 1424 1526 1744 1958 2398 2464 2492 2848 3052 3488 3916 4796 4984 6104 6853 7832 8393 9592 9701 9968 12208 13706 15664 16786 19184 19402 19936 24416 27412 31328 33572 38368 38804 54824 67144 67907 77608 106711 109648 134288 135814 155216 213422 219296 268576 271628 310432 426844 543256 746977 853688 1086512 1493954 1707376 2173024 2987908 3414752 5975816 11951632 23903264