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23944896 = 263431149
BaseRepresentation
bin101101101010…
…1111011000000
31200001112020000
41123111323000
522112214041
62213120000
7410346123
oct133257300
950045200
1023944896
1112575178
128029000
134c64ba1
1432743ba
15217ebb6
hex16d5ec0

23944896 has 140 divisors (see below), whose sum is σ = 73761600. Its totient is φ = 7672320.

The previous prime is 23944867. The next prime is 23944901. The reversal of 23944896 is 69844932.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 160630 + ... + 160778.

Almost surely, 223944896 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 23944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880800).

23944896 is an abundant number, since it is smaller than the sum of its proper divisors (49816704).

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

23944896 is a wasteful number, since it uses less digits than its factorization.

23944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23944896 is about 4893.3522252133. The cubic root of 23944896 is about 288.2289845562.

The spelling of 23944896 in words is "twenty-three million, nine hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 149 162 186 192 216 248 279 288 298 324 372 432 447 496 558 576 596 648 744 837 864 894 992 1116 1192 1296 1341 1488 1674 1728 1788 1984 2232 2384 2511 2592 2682 2976 3348 3576 4023 4464 4619 4768 5022 5184 5364 5952 6696 7152 8046 8928 9238 9536 10044 10728 12069 13392 13857 14304 16092 17856 18476 20088 21456 24138 26784 27714 28608 32184 36952 40176 41571 42912 48276 53568 55428 64368 73904 80352 83142 85824 96552 110856 124713 128736 147808 160704 166284 193104 221712 249426 257472 295616 332568 374139 386208 443424 498852 665136 748278 772416 886848 997704 1330272 1496556 1995408 2660544 2993112 3990816 5986224 7981632 11972448 23944896