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2979484416 = 28321293179
BaseRepresentation
bin1011000110010111…
…0101001100000000
321200122102111020200
42301211311030000
522100222000131
61211352405200
7133556125326
oct26145651400
97618374220
102979484416
111299928817
126b19a6800
1338638053c
142039c5d16
151268902e6
hexb1975300

2979484416 has 54 divisors (see below), whose sum is σ = 8590594740. Its totient is φ = 993160704.

The previous prime is 2979484397. The next prime is 2979484429. The reversal of 2979484416 is 6144849792.

It is a super-2 number, since 2×29794844162 = 17754654770373722112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 644286 + ... + 648893.

Almost surely, 22979484416 is an apocalyptic number.

It is an amenable number.

2979484416 is an abundant number, since it is smaller than the sum of its proper divisors (5611110324).

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

2979484416 is a wasteful number, since it uses less digits than its factorization.

2979484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293201 (or 1293184 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2979484416 is about 54584.6536674916. The cubic root of 2979484416 is about 1438.9544261852.

The spelling of 2979484416 in words is "two billion, nine hundred seventy-nine million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1293179 2586358 3879537 5172716 7759074 10345432 11638611 15518148 20690864 23277222 31036296 41381728 46554444 62072592 82763456 93108888 124145184 165526912 186217776 248290368 331053824 372435552 496580736 744871104 993161472 1489742208 2979484416