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80924640 = 2535533181
BaseRepresentation
bin1001101001011…
…00111111100000
312122021101201220
410310230333200
5131204042030
612010255040
72001563616
oct464547740
9178241656
1080924640
1141752975
1223127480
13139c5204
14aa676b6
157187a10
hex4d2cfe0

80924640 has 96 divisors (see below), whose sum is σ = 259803936. Its totient is φ = 21166080.

The previous prime is 80924609. The next prime is 80924653. The reversal of 80924640 is 4642908.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23850 + ... + 27030.

It is an arithmetic number, because the mean of its divisors is an integer number (2706291).

Almost surely, 280924640 is an apocalyptic number.

80924640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129901968).

80924640 is an abundant number, since it is smaller than the sum of its proper divisors (178879296).

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

80924640 is a wasteful number, since it uses less digits than its factorization.

80924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 80924640 is about 8995.8123590924. The cubic root of 80924640 is about 432.5406468308.

The spelling of 80924640 in words is "eighty million, nine hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 3181 4240 5088 6360 6362 8480 9543 12720 12724 15905 19086 25440 25448 31810 38172 47715 50896 63620 76344 95430 101792 127240 152688 168593 190860 254480 305376 337186 381720 505779 508960 674372 763440 842965 1011558 1348744 1526880 1685930 2023116 2528895 2697488 3371860 4046232 5057790 5394976 6743720 8092464 10115580 13487440 16184928 20231160 26974880 40462320 80924640