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80054304 = 2531141432
BaseRepresentation
bin1001100010110…
…00100000100000
312120122011212020
410301120200200
5130443214204
611535501440
71661310321
oct461304040
9176564766
1080054304
1141208a90
1222987880
131377c015
14a8bc448
157064bd9
hex4c58820

80054304 has 144 divisors (see below), whose sum is σ = 240426144. Its totient is φ = 23116800.

The previous prime is 80054269. The next prime is 80054321. The reversal of 80054304 is 40345008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861707 + ... + 1861749.

It is an arithmetic number, because the mean of its divisors is an integer number (1669626).

Almost surely, 280054304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120213072).

80054304 is an abundant number, since it is smaller than the sum of its proper divisors (160371840).

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

80054304 is a wasteful number, since it uses less digits than its factorization.

80054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 80054304 is about 8947.3070809043. The cubic root of 80054304 is about 430.9844113059.

The spelling of 80054304 in words is "eighty million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 43 44 48 66 82 86 88 96 123 129 132 164 172 176 246 258 264 328 344 352 451 473 492 516 528 656 688 902 946 984 1032 1056 1312 1353 1376 1419 1763 1804 1849 1892 1968 2064 2706 2838 3526 3608 3698 3784 3936 4128 5289 5412 5547 5676 7052 7216 7396 7568 10578 10824 11094 11352 14104 14432 14792 15136 19393 20339 21156 21648 22188 22704 28208 29584 38786 40678 42312 43296 44376 45408 56416 58179 59168 61017 75809 77572 81356 84624 88752 116358 122034 151618 155144 162712 169248 177504 227427 232716 244068 303236 310288 325424 454854 465432 488136 606472 620576 650848 833899 909708 930864 976272 1212944 1667798 1819416 1861728 1952544 2425888 2501697 3335596 3638832 5003394 6671192 7277664 10006788 13342384 20013576 26684768 40027152 80054304