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80837064 = 233272112083
BaseRepresentation
bin1001101000101…
…11100111001000
312122002221121100
410310113213020
5131143241224
612004341400
72001050400
oct464274710
9178087540
1080837064
11416a30a0
12230a4860
13139943a9
14aa43800
15716bac9
hex4d179c8

80837064 has 144 divisors (see below), whose sum is σ = 277963920. Its totient is φ = 20986560.

The previous prime is 80837063. The next prime is 80837069. The reversal of 80837064 is 46073808.

It is a super-2 number, since 2×808370642 = 13069261832280192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80837063) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 37767 + ... + 39849.

It is an arithmetic number, because the mean of its divisors is an integer number (1930305).

Almost surely, 280837064 is an apocalyptic number.

80837064 is a gapful number since it is divisible by the number (84) 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 80837064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138981960).

80837064 is an abundant number, since it is smaller than the sum of its proper divisors (197126856).

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

80837064 is a wasteful number, since it uses less digits than its factorization.

80837064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80837064 is about 8990.9434432656. The cubic root of 80837064 is about 432.3845598325.

The spelling of 80837064 in words is "eighty million, eight hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2083 2156 2772 3234 3528 4166 4312 4851 5544 6249 6468 8332 9702 12498 12936 14581 16664 18747 19404 22913 24996 29162 37494 38808 43743 45826 49992 58324 68739 74988 87486 91652 102067 116648 131229 137478 149976 160391 174972 183304 204134 206217 262458 274956 306201 320782 349944 408268 412434 481173 524916 549912 612402 641564 816536 824868 918603 962346 1049832 1122737 1224804 1283128 1443519 1649736 1837206 1924692 2245474 2449608 2887038 3368211 3674412 3849384 4490948 5774076 6736422 7348824 8981896 10104633 11548152 13472844 20209266 26945688 40418532 80837064