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23428656 = 2433193281
BaseRepresentation
bin101100101011…
…1111000110000
31122002022002000
41121113320300
521444204111
62154054000
7403066056
oct131277060
948068060
1023428656
1112252329
127a1a300
134b13c14
14317c1d6
1520cbc56
hex1657e30

23428656 has 80 divisors (see below), whose sum is σ = 67837920. Its totient is φ = 7741440.

The previous prime is 23428621. The next prime is 23428661. The reversal of 23428656 is 65682432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23428656.

It is an unprimeable number.

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, 83236 + ... + 83516.

It is an arithmetic number, because the mean of its divisors is an integer number (847974).

Almost surely, 223428656 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 23428656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33918960).

23428656 is an abundant number, since it is smaller than the sum of its proper divisors (44409264).

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

23428656 is a wasteful number, since it uses less digits than its factorization.

23428656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 23428656 is about 4840.3156921837. The cubic root of 23428656 is about 286.1425601888.

The spelling of 23428656 in words is "twenty-three million, four hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 281 386 432 562 579 772 843 1124 1158 1544 1686 1737 2248 2316 2529 3088 3372 3474 4496 4632 5058 5211 6744 6948 7587 9264 10116 10422 13488 13896 15174 20232 20844 27792 30348 40464 41688 54233 60696 83376 108466 121392 162699 216932 325398 433864 488097 650796 867728 976194 1301592 1464291 1952388 2603184 2928582 3904776 5857164 7809552 11714328 23428656