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448067980 = 225172921567
BaseRepresentation
bin11010101101001…
…111100110001100
31011020010012201101
4122231033212030
51404201133410
6112243352444
714050341433
oct3255174614
91136105641
10448067980
1120aa17118
12106082724
1371aa14a9
144371811a
152950ad3a
hex1ab4f98c

448067980 has 72 divisors (see below), whose sum is σ = 1032490368. Its totient is φ = 162763776.

The previous prime is 448067969. The next prime is 448067981. The reversal of 448067980 is 89760844.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 448067980.

It is not an unprimeable number, because it can be changed into a prime (448067981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285157 + ... + 286723.

It is an arithmetic number, because the mean of its divisors is an integer number (14340144).

Almost surely, 2448067980 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 448067980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516245184).

448067980 is an abundant number, since it is smaller than the sum of its proper divisors (584422388).

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

448067980 is a wasteful number, since it uses less digits than its factorization.

448067980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 448067980 is about 21167.6163041567. The cubic root of 448067980 is about 765.2111738485.

The spelling of 448067980 in words is "four hundred forty-eight million, sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 841 986 1567 1682 1972 2465 3134 3364 4205 4930 6268 7835 8410 9860 14297 15670 16820 26639 28594 31340 45443 53278 57188 71485 90886 106556 133195 142970 181772 227215 266390 285940 454430 532780 772531 908860 1317847 1545062 2635694 3090124 3862655 5271388 6589235 7725310 13178470 15450620 22403399 26356940 44806798 89613596 112016995 224033990 448067980