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238620448 = 2511798581
BaseRepresentation
bin11100011100100…
…00111100100000
3121122000011201101
432032100330200
5442041323243
635402244144
75625145303
oct1616207440
9548004641
10238620448
11112771090
1267ab6654
133a589c41
1423996b3a
1515e3754d
hexe390f20

238620448 has 48 divisors (see below), whose sum is σ = 519039360. Its totient is φ = 107078400.

The previous prime is 238620443. The next prime is 238620491. The reversal of 238620448 is 844026832.

It is not an unprimeable number, because it can be changed into a prime (238620443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23518 + ... + 32098.

It is an arithmetic number, because the mean of its divisors is an integer number (10813320).

Almost surely, 2238620448 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 238620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259519680).

238620448 is an abundant number, since it is smaller than the sum of its proper divisors (280418912).

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

238620448 is a wasteful number, since it uses less digits than its factorization.

238620448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 238620448 is about 15447.3443672367. The cubic root of 238620448 is about 620.2534932902.

The spelling of 238620448 in words is "two hundred thirty-eight million, six hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 8581 13904 17162 27808 34324 68648 94391 137296 188782 274592 377564 677899 755128 1355798 1510256 2711596 3020512 5423192 7456889 10846384 14913778 21692768 29827556 59655112 119310224 238620448