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80823744 = 26355197
BaseRepresentation
bin1001101000101…
…00010111000000
312122002021100000
410310110113000
5131142324434
612004200000
72000663511
oct464242700
9178067300
1080823744
1141694091
1223099000
131398b301
14aa3ca08
157167b99
hex4d145c0

80823744 has 84 divisors (see below), whose sum is σ = 240293144. Its totient is φ = 26936064.

The previous prime is 80823733. The next prime is 80823793. The reversal of 80823744 is 44732808.

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

It is a junction number, because it is equal to n+sod(n) for n = 80823699 and 80823708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12954 + ... + 18150.

Almost surely, 280823744 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 80823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120146572).

80823744 is an abundant number, since it is smaller than the sum of its proper divisors (159469400).

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

80823744 is an equidigital number, since it uses as much as digits as its factorization.

80823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 80823744 is about 8990.2026673485. The cubic root of 80823744 is about 432.3608096762.

The spelling of 80823744 in words is "eighty million, eight hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 5197 7776 10394 15552 15591 20788 31182 41576 46773 62364 83152 93546 124728 140319 166304 187092 249456 280638 332608 374184 420957 498912 561276 748368 841914 997824 1122552 1262871 1496736 1683828 2245104 2525742 2993472 3367656 4490208 5051484 6735312 8980416 10102968 13470624 20205936 26941248 40411872 80823744