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23803648 = 281179107
BaseRepresentation
bin101101011001…
…1011100000000
31122210100110121
41122303130000
522043204043
62210110024
7406220251
oct132633400
948710417
1023803648
1112489040
127b7b314
134c157cb
143238b28
152152ded
hex16b3700

23803648 has 72 divisors (see below), whose sum is σ = 52980480. Its totient is φ = 10583040.

The previous prime is 23803631. The next prime is 23803649. The reversal of 23803648 is 84630832.

It is a super-2 number, since 2×238036482 = 1133227316215808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23803649) 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 7 ways as a sum of consecutive naturals, for example, 222411 + ... + 222517.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 223803648 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 23803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26490240).

23803648 is an abundant number, since it is smaller than the sum of its proper divisors (29176832).

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

23803648 is a wasteful number, since it uses less digits than its factorization.

23803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 23803648 is about 4878.8982362824. The cubic root of 23803648 is about 287.6611240509.

The spelling of 23803648 in words is "twenty-three million, eight hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 107 128 158 176 214 256 316 352 428 632 704 856 869 1177 1264 1408 1712 1738 2354 2528 2816 3424 3476 4708 5056 6848 6952 8453 9416 10112 13696 13904 16906 18832 20224 27392 27808 33812 37664 55616 67624 75328 92983 111232 135248 150656 185966 222464 270496 301312 371932 540992 743864 1081984 1487728 2163968 2975456 5950912 11901824 23803648