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23568048 = 24327103227
BaseRepresentation
bin101100111100…
…1111010110000
31122100101021200
41121321322300
522013134143
62201051200
7404216340
oct131717260
948311250
1023568048
1112338029
127a86b00
134b624ba
1431b6d20
1521081d3
hex1679eb0

23568048 has 120 divisors (see below), whose sum is σ = 76447488. Its totient is φ = 6638976.

The previous prime is 23568023. The next prime is 23568049. The reversal of 23568048 is 84086532.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23568049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103711 + ... + 103937.

Almost surely, 223568048 is an apocalyptic number.

23568048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23568048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223744).

23568048 is an abundant number, since it is smaller than the sum of its proper divisors (52879440).

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

23568048 is a wasteful number, since it uses less digits than its factorization.

23568048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 23568048 is about 4854.6933991757. The cubic root of 23568048 is about 286.7089199180.

It can be divided in two parts, 2356 and 8048, that added together give a square (10404 = 1022).

The spelling of 23568048 in words is "twenty-three million, five hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 227 252 309 336 412 454 504 618 681 721 824 908 927 1008 1236 1362 1442 1589 1648 1816 1854 2043 2163 2472 2724 2884 3178 3632 3708 4086 4326 4767 4944 5448 5768 6356 6489 7416 8172 8652 9534 10896 11536 12712 12978 14301 14832 16344 17304 19068 23381 25424 25956 28602 32688 34608 38136 46762 51912 57204 70143 76272 93524 103824 114408 140286 163667 187048 210429 228816 280572 327334 374096 420858 491001 561144 654668 841716 982002 1122288 1309336 1473003 1683432 1964004 2618672 2946006 3366864 3928008 5892012 7856016 11784024 23568048