Search a number
-
+
23953408 = 2151743
BaseRepresentation
bin101101101100…
…0000000000000
31200001221220021
41123120000000
522113002113
62213223224
7410413003
oct133300000
950057807
1023953408
1112580606
128031b14
134c68a1b
14327753a
15218248d
hex16d8000

23953408 has 64 divisors (see below), whose sum is σ = 51903720. Its totient is φ = 11010048.

The previous prime is 23953387. The next prime is 23953441. The reversal of 23953408 is 80435932.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557035 + ... + 557077.

Almost surely, 223953408 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 23953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951860).

23953408 is an abundant number, since it is smaller than the sum of its proper divisors (27950312).

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

23953408 is an frugal number, since it uses more digits than its factorization.

23953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 23953408 is about 4894.2218993421. The cubic root of 23953408 is about 288.2631339974.

The spelling of 23953408 in words is "twenty-three million, nine hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 512 544 688 731 1024 1088 1376 1462 2048 2176 2752 2924 4096 4352 5504 5848 8192 8704 11008 11696 16384 17408 22016 23392 32768 34816 44032 46784 69632 88064 93568 139264 176128 187136 278528 352256 374272 557056 704512 748544 1409024 1497088 2994176 5988352 11976704 23953408