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23138048 = 28196771
BaseRepresentation
bin101100001000…
…0111100000000
31121112112102202
41120100330000
521410404143
62143532332
7400445603
oct130207400
947475382
1023138048
1112073a5a
1278ba0a8
134a4186b
14310433a
152070ab8
hex1610f00

23138048 has 72 divisors (see below), whose sum is σ = 50037120. Its totient is φ = 10644480.

The previous prime is 23138047. The next prime is 23138057. The reversal of 23138048 is 84083132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23138048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23138041) 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, 325853 + ... + 325923.

It is an arithmetic number, because the mean of its divisors is an integer number (694960).

Almost surely, 223138048 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 23138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018560).

23138048 is an abundant number, since it is smaller than the sum of its proper divisors (26899072).

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

23138048 is an equidigital number, since it uses as much as digits as its factorization.

23138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 23138048 is about 4810.2024905403. The cubic root of 23138048 is about 284.9545346577.

The spelling of 23138048 in words is "twenty-three million, one hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 67 71 76 128 134 142 152 256 268 284 304 536 568 608 1072 1136 1216 1273 1349 2144 2272 2432 2546 2698 4288 4544 4757 4864 5092 5396 8576 9088 9514 10184 10792 17152 18176 19028 20368 21584 38056 40736 43168 76112 81472 86336 90383 152224 162944 172672 180766 304448 325888 345344 361532 608896 723064 1217792 1446128 2892256 5784512 11569024 23138048