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80084576 = 25112133743
BaseRepresentation
bin1001100010111…
…11111001100000
312120200201101102
410301133321200
5131000201301
611540253532
71661464505
oct461377140
9176621342
1080084576
1141229800
12229a12a8
131378ca30
14a8c94ac
15706db6b
hex4c5fe60

80084576 has 144 divisors (see below), whose sum is σ = 196135632. Its totient is φ = 31933440.

The previous prime is 80084561. The next prime is 80084611. The reversal of 80084576 is 67548008.

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, 1862411 + ... + 1862453.

It is an arithmetic number, because the mean of its divisors is an integer number (1362053).

Almost surely, 280084576 is an apocalyptic number.

80084576 is a gapful number since it is divisible by the number (86) 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 80084576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98067816).

80084576 is an abundant number, since it is smaller than the sum of its proper divisors (116051056).

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

80084576 is a wasteful number, since it uses less digits than its factorization.

80084576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 80084576 is about 8948.9986031958. The cubic root of 80084576 is about 431.0387290847.

The spelling of 80084576 in words is "eighty million, eighty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 43 44 52 74 86 88 104 121 143 148 172 176 208 242 286 296 344 352 407 416 473 481 484 559 572 592 688 814 946 962 968 1118 1144 1184 1376 1573 1591 1628 1892 1924 1936 2236 2288 3146 3182 3256 3784 3848 3872 4472 4477 4576 5203 5291 6149 6292 6364 6512 7568 7696 8944 8954 10406 10582 12298 12584 12728 13024 15136 15392 17501 17888 17908 20683 20812 21164 24596 25168 25456 35002 35816 41366 41624 42328 49192 50336 50912 58201 67639 70004 71632 82732 83248 84656 98384 116402 135278 140008 143264 165464 166496 169312 192511 196768 227513 232804 270556 280016 330928 385022 455026 465608 541112 560032 661856 770044 910052 931216 1082224 1540088 1820104 1862432 2164448 2502643 3080176 3640208 5005286 6160352 7280416 10010572 20021144 40042288 80084576