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23978268 = 22372741
BaseRepresentation
bin101101101111…
…0000100011100
31200010020000000
41123132010130
522114301033
62213534300
7410545326
oct133360434
950106000
1023978268
1112598256
128044390
134c77132
143282616
152189a13
hex16de11c

23978268 has 48 divisors (see below), whose sum is σ = 62956320. Its totient is φ = 7989840.

The previous prime is 23978267. The next prime is 23978287. The reversal of 23978268 is 86287932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23978267) 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, 7378 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (1311590).

Almost surely, 223978268 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 23978268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31478160).

23978268 is an abundant number, since it is smaller than the sum of its proper divisors (38978052).

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

23978268 is an equidigital number, since it uses as much as digits as its factorization.

23978268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2746 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 23978268 is about 4896.7609702741. The cubic root of 23978268 is about 288.3628239704.

The spelling of 23978268 in words is "twenty-three million, nine hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2741 2916 4374 5482 8223 8748 10964 16446 24669 32892 49338 74007 98676 148014 222021 296028 444042 666063 888084 1332126 1998189 2664252 3996378 5994567 7992756 11989134 23978268