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23085048 = 23371759137
BaseRepresentation
bin101100000001…
…1111111111000
31121102211201210
41120003333320
521402210143
62142443120
7400135230
oct130037770
947384653
1023085048
1112038158
1278934a0
134a236bc
1430cccc0
152060033
hex1603ff8

23085048 has 128 divisors (see below), whose sum is σ = 71539200. Its totient is φ = 6057984.

The previous prime is 23085047. The next prime is 23085053. The reversal of 23085048 is 84058032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23085043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168436 + ... + 168572.

It is an arithmetic number, because the mean of its divisors is an integer number (558900).

Almost surely, 223085048 is an apocalyptic number.

23085048 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 23085048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35769600).

23085048 is an abundant number, since it is smaller than the sum of its proper divisors (48454152).

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

23085048 is a wasteful number, since it uses less digits than its factorization.

23085048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 23085048 is about 4804.6902085358. The cubic root of 23085048 is about 284.7367960890.

The spelling of 23085048 in words is "twenty-three million, eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 59 68 84 102 118 119 136 137 168 177 204 236 238 274 354 357 408 411 413 472 476 548 708 714 822 826 952 959 1003 1096 1239 1416 1428 1644 1652 1918 2006 2329 2478 2856 2877 3009 3288 3304 3836 4012 4658 4956 5754 6018 6987 7021 7672 8024 8083 9316 9912 11508 12036 13974 14042 16166 16303 18632 21063 23016 24072 24249 27948 28084 32332 32606 42126 48498 48909 55896 56168 56581 64664 65212 84252 96996 97818 113162 130424 137411 168504 169743 193992 195636 226324 274822 339486 391272 412233 452648 549644 678972 824466 961877 1099288 1357944 1648932 1923754 2885631 3297864 3847508 5771262 7695016 11542524 23085048