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80064450 = 2345253373
BaseRepresentation
bin1001100010110…
…10111111000010
312120122200210000
410301122333002
5130444030300
611540020430
71661352024
oct461327702
9176580700
1080064450
1141215674
1222991716
131378381b
14a8c2014
157067c00
hex4c5afc2

80064450 has 120 divisors (see below), whose sum is σ = 227265588. Its totient is φ = 20891520.

The previous prime is 80064443. The next prime is 80064463. The reversal of 80064450 is 5446008.

It can be written as a sum of positive squares in 6 ways, for example, as 39576681 + 40487769 = 6291^2 + 6363^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 214464 + ... + 214836.

Almost surely, 280064450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80064450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113632794).

80064450 is an abundant number, since it is smaller than the sum of its proper divisors (147201138).

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

80064450 is a wasteful number, since it uses less digits than its factorization.

80064450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 80064450 is about 8947.8740491806. The cubic root of 80064450 is about 431.0026180435.

The spelling of 80064450 in words is "eighty million, sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 81 90 106 135 150 159 162 225 265 270 318 373 405 450 477 530 675 746 795 810 954 1119 1325 1350 1431 1590 1865 2025 2238 2385 2650 2862 3357 3730 3975 4050 4293 4770 5595 6714 7155 7950 8586 9325 10071 11190 11925 14310 16785 18650 19769 20142 21465 23850 27975 30213 33570 35775 39538 42930 50355 55950 59307 60426 71550 83925 98845 100710 107325 118614 151065 167850 177921 197690 214650 251775 296535 302130 355842 494225 503550 533763 593070 755325 889605 988450 1067526 1482675 1510650 1601289 1779210 2668815 2965350 3202578 4448025 5337630 8006445 8896050 13344075 16012890 26688150 40032225 80064450