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2938648080 = 243570117467
BaseRepresentation
bin1010111100101000…
…0011011000010000
321120210120210022210
42233022003120100
522004243214310
61203333232120
7132552045054
oct25712033020
97523523283
102938648080
111278876885
126a0192640
1337aa83124
141dc3d5c64
15122ec5820
hexaf283610

2938648080 has 80 divisors (see below), whose sum is σ = 9123326784. Its totient is φ = 782476800.

The previous prime is 2938648043. The next prime is 2938648103. The reversal of 2938648080 is 808468392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159507 + ... + 176973.

Almost surely, 22938648080 is an apocalyptic number.

2938648080 is a gapful number since it is divisible by the number (20) 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 2938648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561663392).

2938648080 is an abundant number, since it is smaller than the sum of its proper divisors (6184678704).

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

2938648080 is a wasteful number, since it uses less digits than its factorization.

2938648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18184 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2938648080 is about 54209.2988333183. The cubic root of 2938648080 is about 1432.3501349331.

The spelling of 2938648080 in words is "two billion, nine hundred thirty-eight million, six hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 17467 21030 28040 33648 34934 42060 52401 56080 69868 84120 87335 104802 139736 168240 174670 209604 262005 279472 349340 419208 524010 698680 838416 1048020 1397360 2096040 4192080 12244367 24488734 36733101 48977468 61221835 73466202 97954936 122443670 146932404 183665505 195909872 244887340 293864808 367331010 489774680 587729616 734662020 979549360 1469324040 2938648080