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239346048 = 2732921493
BaseRepresentation
bin11100100010000…
…10000110000000
3121200101001001110
432101002012000
5442233033143
635430003320
75634256614
oct1621020600
9550331043
10239346048
11113117257
12681a6540
133a7822a6
1423b05344
151602c533
hexe442180

239346048 has 64 divisors (see below), whose sum is σ = 657716400. Its totient is φ = 77027328.

The previous prime is 239346031. The next prime is 239346061. The reversal of 239346048 is 840643932.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 239345997 and 239346015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 21882.

Almost surely, 2239346048 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 239346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328858200).

239346048 is an abundant number, since it is smaller than the sum of its proper divisors (418370352).

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

239346048 is a wasteful number, since it uses less digits than its factorization.

239346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21539 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 239346048 is about 15470.8127776145. The cubic root of 239346048 is about 620.8815486099.

The spelling of 239346048 in words is "two hundred thirty-nine million, three hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 21493 42986 64479 85972 128958 171944 257916 343888 515832 623297 687776 1031664 1246594 1375552 1869891 2063328 2493188 2751104 3739782 4126656 4986376 7479564 8253312 9972752 14959128 19945504 29918256 39891008 59836512 79782016 119673024 239346048