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23385472 = 271117977
BaseRepresentation
bin101100100110…
…1010110000000
31122000002211121
41121031112000
521441313342
62153122024
7402526135
oct131152600
948002747
1023385472
1112222940
1279b9314
134aca376
14316a58c
1520be067
hex164d580

23385472 has 64 divisors (see below), whose sum is σ = 53868240. Its totient is φ = 9994240.

The previous prime is 23385469. The next prime is 23385473. The reversal of 23385472 is 27458332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23385473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23448 + ... + 24424.

Almost surely, 223385472 is an apocalyptic number.

23385472 is a gapful number since it is divisible by the number (22) 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 23385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934120).

23385472 is an abundant number, since it is smaller than the sum of its proper divisors (30482768).

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

23385472 is a wasteful number, since it uses less digits than its factorization.

23385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 23385472 is about 4835.8527686438. The cubic root of 23385472 is about 285.9666448459.

The spelling of 23385472 in words is "twenty-three million, three hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 977 1088 1408 1496 1954 2176 2992 3908 5984 7816 10747 11968 15632 16609 21494 23936 31264 33218 42988 62528 66436 85976 125056 132872 171952 182699 265744 343904 365398 531488 687808 730796 1062976 1375616 1461592 2125952 2923184 5846368 11692736 23385472