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80405424 = 243211232207
BaseRepresentation
bin1001100101011…
…10001110110000
312121022000111200
410302232032300
5131040433144
611551211200
71664302101
oct462561660
9177260450
1080405424
1141428870
1222b16b00
1313872a98
14a9703a8
1570d3c69
hex4cae3b0

80405424 has 120 divisors (see below), whose sum is σ = 256269312. Its totient is φ = 23295360.

The previous prime is 80405389. The next prime is 80405431. The reversal of 80405424 is 42450408.

80405424 is a `hidden beast` number, since 80 + 40 + 542 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35329 + ... + 37535.

Almost surely, 280405424 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 80405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128134656).

80405424 is an abundant number, since it is smaller than the sum of its proper divisors (175863888).

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

80405424 is a wasteful number, since it uses less digits than its factorization.

80405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 80405424 is about 8966.9071591045. The cubic root of 80405424 is about 431.6135948096.

It can be divided in two parts, 80 and 405424, that added together give a palindrome (405504).

The spelling of 80405424 in words is "eighty million, four hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2207 2277 3036 3312 4048 4414 4554 6072 6621 8828 9108 12144 13242 17656 18216 19863 24277 26484 35312 36432 39726 48554 50761 52968 72831 79452 97108 101522 105936 145662 152283 158904 194216 203044 218493 291324 304566 317808 388432 406088 436986 456849 558371 582648 609132 812176 873972 913698 1116742 1165296 1218264 1675113 1747944 1827396 2233484 2436528 3350226 3495888 3654792 4466968 5025339 6700452 7309584 8933936 10050678 13400904 20101356 26801808 40202712 80405424