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8049784880 = 245318339107
BaseRepresentation
bin1110111111100110…
…11111100000110000
3202210000002102220202
413133303133200300
5112441221104010
63410434454332
7403324020404
oct73763374060
922700072822
108049784880
113460991585
121687a343a8
139b3954627
14565147104
15321a816a5
hex1dfcdf830

8049784880 has 80 divisors (see below), whose sum is σ = 19552748544. Its totient is φ = 3078424320.

The previous prime is 8049784879. The next prime is 8049784933. The reversal of 8049784880 is 884879408.

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

It is a super-2 number, since 2×80497848802 (a number of 21 digits) contains 22 as substring.

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, 186287 + ... + 225393.

Almost surely, 28049784880 is an apocalyptic number.

8049784880 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 8049784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776374272).

8049784880 is an abundant number, since it is smaller than the sum of its proper divisors (11502963664).

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

8049784880 is a wasteful number, since it uses less digits than its factorization.

8049784880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39234 (or 39228 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 56.

The square root of 8049784880 is about 89720.5933997318. The cubic root of 8049784880 is about 2004.1401636088.

The spelling of 8049784880 in words is "eight billion, forty-nine million, seven hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 620 664 830 1240 1328 1660 2480 2573 3320 5146 6640 10292 12865 20584 25730 39107 41168 51460 78214 102920 156428 195535 205840 312856 391070 625712 782140 1212317 1564280 2424634 3128560 3245881 4849268 6061585 6491762 9698536 12123170 12983524 16229405 19397072 24246340 25967048 32458810 48492680 51934096 64917620 96985360 100622311 129835240 201244622 259670480 402489244 503111555 804978488 1006223110 1609956976 2012446220 4024892440 8049784880