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238842648 = 233311100523
BaseRepresentation
bin11100011110001…
…11001100011000
3121122102110112000
432033013030120
5442120431043
635411121000
75630062152
oct1617071430
9548373460
10238842648
11112903020
1267ba3160
133a637115
1423a13ad2
1515e7d2d3
hexe3c7318

238842648 has 64 divisors (see below), whose sum is σ = 723772800. Its totient is φ = 72375840.

The previous prime is 238842647. The next prime is 238842689. The reversal of 238842648 is 846248832.

238842648 is a `hidden beast` number, since 2 + 388 + 4 + 264 + 8 = 666.

238842648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238842647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47886 + ... + 52637.

It is an arithmetic number, because the mean of its divisors is an integer number (11308950).

Almost surely, 2238842648 is an apocalyptic number.

It is an amenable number.

238842648 is an abundant number, since it is smaller than the sum of its proper divisors (484930152).

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

238842648 is a wasteful number, since it uses less digits than its factorization.

238842648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100549 (or 100539 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 238842648 is about 15454.5348684456. The cubic root of 238842648 is about 620.4459573347.

The spelling of 238842648 in words is "two hundred thirty-eight million, eight hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 100523 201046 301569 402092 603138 804184 904707 1105753 1206276 1809414 2211506 2412552 2714121 3317259 3618828 4423012 5428242 6634518 7237656 8846024 9951777 10856484 13269036 19903554 21712968 26538072 29855331 39807108 59710662 79614216 119421324 238842648