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382383848 = 237211711249
BaseRepresentation
bin10110110010101…
…011011011101000
3222122112010000202
4112302223123220
51240342240343
6101535451332
712322131500
oct2662533350
9878463022
10382383848
11186933710
12a8086b48
13612b4242
1438adaa00
1523883db8
hex16cab6e8

382383848 has 96 divisors (see below), whose sum is σ = 923400000. Its totient is φ = 146764800.

The previous prime is 382383823. The next prime is 382383871. The reversal of 382383848 is 848383283.

It is a super-2 number, since 2×3823838482 = 292434814422574208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305528 + ... + 306776.

It is an arithmetic number, because the mean of its divisors is an integer number (9618750).

Almost surely, 2382383848 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 382383848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461700000).

382383848 is an abundant number, since it is smaller than the sum of its proper divisors (541016152).

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

382383848 is a wasteful number, since it uses less digits than its factorization.

382383848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 382383848 is about 19554.6375062285. The cubic root of 382383848 is about 725.8271007696.

The spelling of 382383848 in words is "three hundred eighty-two million, three hundred eighty-three thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 71 77 88 98 142 154 196 284 308 392 497 539 568 616 781 994 1078 1249 1562 1988 2156 2498 3124 3479 3976 4312 4996 5467 6248 6958 8743 9992 10934 13739 13916 17486 21868 27478 27832 34972 38269 43736 54956 61201 69944 76538 88679 96173 109912 122402 153076 177358 192346 244804 306152 354716 384692 489608 620753 673211 709432 769384 975469 1241506 1346422 1950938 2483012 2692844 3901876 4345271 4966024 5385688 6828283 7803752 8690542 13656566 17381084 27313132 34762168 47797981 54626264 95595962 191191924 382383848