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445480980 = 223577114939
BaseRepresentation
bin11010100011011…
…000000000010100
31011001020210000120
4122203120000110
51403020342410
6112112111540
714016345240
oct3243300024
91131223016
10445480980
1120950a4aa
121052355b0
13713a6b19
1443243420
1529199570
hex1a8d8014

445480980 has 96 divisors (see below), whose sum is σ = 1445713920. Its totient is φ = 100383360.

The previous prime is 445480979. The next prime is 445480991. The reversal of 445480980 is 89084544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22351 + ... + 37289.

It is an arithmetic number, because the mean of its divisors is an integer number (15059520).

Almost surely, 2445480980 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 445480980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722856960).

445480980 is an abundant number, since it is smaller than the sum of its proper divisors (1000232940).

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

445480980 is a wasteful number, since it uses less digits than its factorization.

445480980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 445480980 is about 21106.4203502157. The cubic root of 445480980 is about 763.7356362643.

The spelling of 445480980 in words is "four hundred forty-five million, four hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14910 14939 29820 29878 44817 59756 74695 89634 104573 149390 179268 209146 224085 298780 313719 418292 448170 522865 627438 896340 1045730 1060669 1254876 1568595 2091460 2121338 3137190 3182007 4242676 5303345 6274380 6364014 7424683 10606690 12728028 14849366 15910035 21213380 22274049 29698732 31820070 37123415 44548098 63640140 74246830 89096196 111370245 148493660 222740490 445480980