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80424144 = 24331747233
BaseRepresentation
bin1001100101100…
…10110011010000
312121022222012000
410302302303100
5131042033034
611551434000
71664410503
oct462626320
9177288160
1080424144
1141440939
1222b25900
131387b468
14a97713a
1570d9599
hex4cb2cd0

80424144 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 24588288.

The previous prime is 80424143. The next prime is 80424193. The reversal of 80424144 is 44142408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80424143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345052 + ... + 345284.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 280424144 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 80424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

80424144 is an abundant number, since it is smaller than the sum of its proper divisors (170274096).

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

80424144 is a wasteful number, since it uses less digits than its factorization.

80424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 80424144 is about 8967.9509365295. The cubic root of 80424144 is about 431.6470883193.

The spelling of 80424144 in words is "eighty million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 47 48 51 54 68 72 94 102 108 136 141 144 153 188 204 216 233 272 282 306 376 408 423 432 459 466 564 612 699 752 799 816 846 918 932 1128 1224 1269 1398 1598 1692 1836 1864 2097 2256 2397 2448 2538 2796 3196 3384 3672 3728 3961 4194 4794 5076 5592 6291 6392 6768 7191 7344 7922 8388 9588 10152 10951 11184 11883 12582 12784 14382 15844 16776 19176 20304 21573 21902 23766 25164 28764 31688 32853 33552 35649 38352 43146 43804 47532 50328 57528 63376 65706 71298 86292 87608 95064 98559 100656 106947 115056 131412 142596 172584 175216 186167 190128 197118 213894 262824 285192 295677 345168 372334 394236 427788 525648 558501 570384 591354 744668 788472 855576 1117002 1182708 1489336 1576944 1675503 1711152 2234004 2365416 2978672 3351006 4468008 4730832 5026509 6702012 8936016 10053018 13404024 20106036 26808048 40212072 80424144