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23409888 = 2534353107
BaseRepresentation
bin101100101001…
…1010011100000
31122001100022220
41121103103200
521443104023
62153431040
7402660255
oct131232340
948040286
1023409888
111223a217
127a0b480
134b08508
14317542c
1520c63e3
hex16534e0

23409888 has 96 divisors (see below), whose sum is σ = 64665216. Its totient is φ = 7408128.

The previous prime is 23409887. The next prime is 23409913. The reversal of 23409888 is 88890432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23409887) 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, 218731 + ... + 218837.

It is an arithmetic number, because the mean of its divisors is an integer number (673596).

Almost surely, 223409888 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 23409888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32332608).

23409888 is an abundant number, since it is smaller than the sum of its proper divisors (41255328).

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

23409888 is a wasteful number, since it uses less digits than its factorization.

23409888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 23409888 is about 4838.3765872449. The cubic root of 23409888 is about 286.0661330105.

The spelling of 23409888 in words is "twenty-three million, four hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 107 129 159 172 212 214 258 318 321 344 424 428 516 636 642 688 848 856 1032 1272 1284 1376 1696 1712 2064 2279 2544 2568 3424 4128 4558 4601 5088 5136 5671 6837 9116 9202 10272 11342 13674 13803 17013 18232 18404 22684 27348 27606 34026 36464 36808 45368 54696 55212 68052 72928 73616 90736 109392 110424 136104 147232 181472 218784 220848 243853 272208 441696 487706 544416 731559 975412 1463118 1950824 2926236 3901648 5852472 7803296 11704944 23409888