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78983982 = 23273111163
BaseRepresentation
bin1001011010100…
…11001100101110
312111121210122200
410231103030232
5130204441412
611500522330
71646232000
oct455231456
9174553580
1078983982
1140647920
12225503a6
1313495aac
14a6c0370
156e029dc
hex4b5332e

78983982 has 96 divisors (see below), whose sum is σ = 217900800. Its totient is φ = 20497680.

The previous prime is 78983981. The next prime is 78983987. The reversal of 78983982 is 28938987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78983981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67333 + ... + 68495.

It is an arithmetic number, because the mean of its divisors is an integer number (2269800).

Almost surely, 278983982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78983982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950400).

78983982 is an abundant number, since it is smaller than the sum of its proper divisors (138916818).

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

78983982 is a wasteful number, since it uses less digits than its factorization.

78983982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 78983982 is about 8887.2932887353. The cubic root of 78983982 is about 429.0550404546.

The spelling of 78983982 in words is "seventy-eight million, nine hundred eighty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 343 441 462 539 686 693 882 1029 1078 1163 1386 1617 2058 2326 3087 3234 3489 3773 4851 6174 6978 7546 8141 9702 10467 11319 12793 16282 20934 22638 24423 25586 33957 38379 48846 56987 67914 73269 76758 89551 113974 115137 146538 170961 179102 230274 268653 341922 398909 512883 537306 626857 797818 805959 1025766 1196727 1253714 1611918 1880571 2393454 3590181 3761142 4387999 5641713 7180362 8775998 11283426 13163997 26327994 39491991 78983982