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23483768 = 2371167569
BaseRepresentation
bin101100110010…
…1010101111000
31122012002200012
41121211111320
522002440033
62155201052
7403415540
oct131452570
948162605
1023483768
111228a780
127a46188
134b33029
143194320
1520dd248
hex1665578

23483768 has 64 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 8997120.

The previous prime is 23483767. The next prime is 23483809. The reversal of 23483768 is 86738432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23483767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40988 + ... + 41556.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 223483768 is an apocalyptic number.

23483768 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 23483768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

23483768 is an abundant number, since it is smaller than the sum of its proper divisors (32330632).

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

23483768 is a wasteful number, since it uses less digits than its factorization.

23483768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 23483768 is about 4846.0053652467. The cubic root of 23483768 is about 286.3667520157.

It can be divided in two parts, 2348 and 3768, that added together give a palindrome (6116).

The spelling of 23483768 in words is "twenty-three million, four hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 569 616 737 938 1138 1474 1876 2276 2948 3752 3983 4552 5159 5896 6259 7966 10318 12518 15932 20636 25036 31864 38123 41272 43813 50072 76246 87626 152492 175252 266861 304984 350504 419353 533722 838706 1067444 1677412 2134888 2935471 3354824 5870942 11741884 23483768