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8054036480 = 21157112361
BaseRepresentation
bin1111000000000111…
…01101100000000000
3202210022002110000102
413200003231200000
5112443313131410
63411105541532
7403405115630
oct74003554000
922708073012
108054036480
1134633258a6
1216893448a8
139b47b2879
145659326c0
153221212a5
hex1e00ed800

8054036480 has 96 divisors (see below), whose sum is σ = 22085874720. Its totient is φ = 2761359360.

The previous prime is 8054036461. The next prime is 8054036527. The reversal of 8054036480 is 846304508.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15500 + ... + 127860.

It is an arithmetic number, because the mean of its divisors is an integer number (230061195).

Almost surely, 28054036480 is an apocalyptic number.

8054036480 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 8054036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042937360).

8054036480 is an abundant number, since it is smaller than the sum of its proper divisors (14031838240).

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

8054036480 is a wasteful number, since it uses less digits than its factorization.

8054036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112395 (or 112375 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 8054036480 is about 89744.2838291108. The cubic root of 8054036480 is about 2004.4929391907.

The spelling of 8054036480 in words is "eight billion, fifty-four million, thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 35840 71680 112361 224722 449444 561805 786527 898888 1123610 1573054 1797776 2247220 3146108 3595552 3932635 4494440 6292216 7191104 7865270 8988880 12584432 14382208 15730540 17977760 25168864 28764416 31461080 35955520 50337728 57528832 62922160 71911040 100675456 115057664 125844320 143822080 201350912 230115328 251688640 287644160 402701824 503377280 575288320 805403648 1006754560 1150576640 1610807296 2013509120 4027018240 8054036480