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80944200 = 233252193233
BaseRepresentation
bin1001101001100…
…01110001001000
312122022101120100
410310301301020
5131210203300
612010525400
72002004631
oct464616110
9178271510
1080944200
1141766637
1223136860
1313a0109c
14aa70888
15718d700
hex4d31c48

80944200 has 144 divisors (see below), whose sum is σ = 274418820. Its totient is φ = 21381120.

The previous prime is 80944183. The next prime is 80944207. The reversal of 80944200 is 244908.

It can be written as a sum of positive squares in 6 ways, for example, as 9474084 + 71470116 = 3078^2 + 8454^2 .

It is not an unprimeable number, because it can be changed into a prime (80944207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347284 + ... + 347516.

Almost surely, 280944200 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 80944200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137209410).

80944200 is an abundant number, since it is smaller than the sum of its proper divisors (193474620).

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

80944200 is a wasteful number, since it uses less digits than its factorization.

80944200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80944200 is about 8996.8994659271. The cubic root of 80944200 is about 432.5754932982.

The spelling of 80944200 in words is "eighty million, nine hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 193 200 225 233 300 360 386 450 466 579 600 699 772 900 932 965 1158 1165 1398 1544 1737 1800 1864 1930 2097 2316 2330 2796 2895 3474 3495 3860 4194 4632 4660 4825 5592 5790 5825 6948 6990 7720 8388 8685 9320 9650 10485 11580 11650 13896 13980 14475 16776 17370 17475 19300 20970 23160 23300 27960 28950 34740 34950 38600 41940 43425 44969 46600 52425 57900 69480 69900 83880 86850 89938 104850 115800 134907 139800 173700 179876 209700 224845 269814 347400 359752 404721 419400 449690 539628 674535 809442 899380 1079256 1124225 1349070 1618884 1798760 2023605 2248450 2698140 3237768 3372675 4047210 4496900 5396280 6745350 8094420 8993800 10118025 13490700 16188840 20236050 26981400 40472100 80944200