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23987952 = 24321741239
BaseRepresentation
bin101101110000…
…0011011110000
31200010201021200
41123200123300
522120103302
62214051200
7410615502
oct133403360
950121250
1023987952
11125a455a
128049b00
134c7b671
143285d72
15218c81c
hex16e06f0

23987952 has 120 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 7311360.

The previous prime is 23987939. The next prime is 23987983. The reversal of 23987952 is 25978932.

It is a junction number, because it is equal to n+sod(n) for n = 23987898 and 23987907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100249 + ... + 100487.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 223987952 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 23987952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

23987952 is an abundant number, since it is smaller than the sum of its proper divisors (49132368).

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

23987952 is a wasteful number, since it uses less digits than its factorization.

23987952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 23987952 is about 4897.7496873564. The cubic root of 23987952 is about 288.4016386969.

The spelling of 23987952 in words is "twenty-three million, nine hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 239 246 272 306 328 369 408 478 492 612 656 697 717 738 816 956 984 1224 1394 1434 1476 1912 1968 2091 2151 2448 2788 2868 2952 3824 4063 4182 4302 5576 5736 5904 6273 8126 8364 8604 9799 11152 11472 12189 12546 16252 16728 17208 19598 24378 25092 29397 32504 33456 34416 36567 39196 48756 50184 58794 65008 73134 78392 88191 97512 100368 117588 146268 156784 166583 176382 195024 235176 292536 333166 352764 470352 499749 585072 666332 705528 999498 1332664 1411056 1499247 1998996 2665328 2998494 3997992 5996988 7995984 11993976 23987952