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23728608 = 2532471753
BaseRepresentation
bin101101010000…
…1000111100000
31122122112112100
41122201013200
522033303413
62204330400
7405455421
oct132410740
948575470
1023728608
1112437722
127b43a00
134bba5c7
143219648
15213aa73
hex16a11e0

23728608 has 72 divisors (see below), whose sum is σ = 68953248. Its totient is φ = 7736832.

The previous prime is 23728603. The next prime is 23728631. The reversal of 23728608 is 80682732.

It is a happy number.

23728608 is a `hidden beast` number, since 23 + 7 + 28 + 608 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23728603) 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, 12660 + ... + 14412.

It is an arithmetic number, because the mean of its divisors is an integer number (957684).

Almost surely, 223728608 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 23728608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476624).

23728608 is an abundant number, since it is smaller than the sum of its proper divisors (45224640).

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

23728608 is a wasteful number, since it uses less digits than its factorization.

23728608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23728608 is about 4871.2019050744. The cubic root of 23728608 is about 287.3585259835.

It can be divided in two parts, 23728 and 608, that added together give a square (24336 = 1562).

The spelling of 23728608 in words is "twenty-three million, seven hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 1753 2256 3384 3506 4512 5259 6768 7012 10518 13536 14024 15777 21036 28048 31554 42072 56096 63108 82391 84144 126216 164782 168288 247173 252432 329564 494346 504864 659128 741519 988692 1318256 1483038 1977384 2636512 2966076 3954768 5932152 7909536 11864304 23728608