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23639328 = 2532791039
BaseRepresentation
bin101101000101…
…1010100100000
31122111000001200
41122023110200
522022424303
62202401200
7404634216
oct132132440
948430050
1023639328
1112386639
127b00200
134b88a8b
1431d4cb6
15211e3a3
hex168b520

23639328 has 72 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 7772544.

The previous prime is 23639327. The next prime is 23639347. The reversal of 23639328 is 82393632.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23639292 and 23639301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23639323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22233 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 223639328 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 23639328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

23639328 is an abundant number, since it is smaller than the sum of its proper divisors (44501472).

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

23639328 is a wasteful number, since it uses less digits than its factorization.

23639328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23639328 is about 4862.0292060003. The cubic root of 23639328 is about 286.9976730539.

The spelling of 23639328 in words is "twenty-three million, six hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1039 1264 1422 1896 2078 2528 2844 3117 3792 4156 5688 6234 7584 8312 9351 11376 12468 16624 18702 22752 24936 33248 37404 49872 74808 82081 99744 149616 164162 246243 299232 328324 492486 656648 738729 984972 1313296 1477458 1969944 2626592 2954916 3939888 5909832 7879776 11819664 23639328