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23965812 = 223213411249
BaseRepresentation
bin101101101101…
…1000001110100
31200002120220200
41123123001310
522113401222
62213400500
7410464113
oct133330164
950076820
1023965812
1112589962
128039130
134c71570
14327bc7a
152185eac
hex16db074

23965812 has 72 divisors (see below), whose sum is σ = 66885000. Its totient is φ = 7188480.

The previous prime is 23965717. The next prime is 23965819. The reversal of 23965812 is 21856932.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 23561316 = 636^2 + 4854^2 .

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 (23965819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18564 + ... + 19812.

Almost surely, 223965812 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 23965812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442500).

23965812 is an abundant number, since it is smaller than the sum of its proper divisors (42919188).

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

23965812 is a wasteful number, since it uses less digits than its factorization.

23965812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1308 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 23965812 is about 4895.4889439156. The cubic root of 23965812 is about 288.3128833399.

The spelling of 23965812 in words is "twenty-three million, nine hundred sixty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1249 1476 1599 2132 2498 3198 3747 4797 4996 6396 7494 9594 11241 14988 16237 19188 22482 32474 44964 48711 51209 64948 97422 102418 146133 153627 194844 204836 292266 307254 460881 584532 614508 665717 921762 1331434 1843524 1997151 2662868 3994302 5991453 7988604 11982906 23965812