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23448768 = 263773239
BaseRepresentation
bin101100101110…
…0110011000000
31122010022122220
41121130303000
522000330033
62154331040
7403211520
oct131346300
948108586
1023448768
1112266452
127a29a80
134b20115
143185680
1520d2bb3
hex165ccc0

23448768 has 112 divisors (see below), whose sum is σ = 72176640. Its totient is φ = 6580224.

The previous prime is 23448749. The next prime is 23448769. The reversal of 23448768 is 86784432.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (23448769) 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, 97993 + ... + 98231.

Almost surely, 223448768 is an apocalyptic number.

23448768 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 23448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088320).

23448768 is an abundant number, since it is smaller than the sum of its proper divisors (48727872).

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

23448768 is a wasteful number, since it uses less digits than its factorization.

23448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 23448768 is about 4842.3927969548. The cubic root of 23448768 is about 286.2244151221.

The spelling of 23448768 in words is "twenty-three million, four hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 239 292 336 438 448 478 511 584 672 717 876 956 1022 1168 1344 1434 1533 1673 1752 1912 2044 2336 2868 3066 3346 3504 3824 4088 4672 5019 5736 6132 6692 7008 7648 8176 10038 11472 12264 13384 14016 15296 16352 17447 20076 22944 24528 26768 32704 34894 40152 45888 49056 52341 53536 69788 80304 98112 104682 107072 122129 139576 160608 209364 244258 279152 321216 366387 418728 488516 558304 732774 837456 977032 1116608 1465548 1674912 1954064 2931096 3349824 3908128 5862192 7816256 11724384 23448768