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80649408 = 2637232609
BaseRepresentation
bin1001100111010…
…01110011000000
312121202102012010
410303221303000
5131121240113
612000332520
71666336320
oct463516300
9177672163
1080649408
1141585104
1223014140
1313929b58
14a9d5280
1571311c3
hex4ce9cc0

80649408 has 112 divisors (see below), whose sum is σ = 254568960. Its totient is φ = 22032384.

The previous prime is 80649407. The next prime is 80649421. The reversal of 80649408 is 80494608.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (80649403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29608 + ... + 32216.

Almost surely, 280649408 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 80649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127284480).

80649408 is an abundant number, since it is smaller than the sum of its proper divisors (173919552).

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

80649408 is a wasteful number, since it uses less digits than its factorization.

80649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 80649408 is about 8980.5015450141. The cubic root of 80649408 is about 432.0497199290.

The spelling of 80649408 in words is "eighty million, six hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 2609 3864 4416 5152 5218 7728 7827 10304 10436 15456 15654 18263 20872 30912 31308 36526 41744 54789 60007 62616 73052 83488 109578 120014 125232 146104 166976 180021 219156 240028 250464 292208 360042 420049 438312 480056 500928 584416 720084 840098 876624 960112 1168832 1260147 1440168 1680196 1753248 1920224 2520294 2880336 3360392 3506496 3840448 5040588 5760672 6720784 10081176 11521344 13441568 20162352 26883136 40324704 80649408