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445970772 = 223413113937
BaseRepresentation
bin11010100101001…
…111100101010100
31011002011122220000
4122211033211110
51403132031042
6112130411300
714023455222
oct3245174524
91132148800
10445970772
11209814495
12105430b30
1371518a40
144332db12
152924474c
hex1a94f954

445970772 has 120 divisors (see below), whose sum is σ = 1267999656. Its totient is φ = 135862272.

The previous prime is 445970761. The next prime is 445970807. The reversal of 445970772 is 277079544.

It can be written as a sum of positive squares in 4 ways, for example, as 69455556 + 376515216 = 8334^2 + 19404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475488 + ... + 476424.

Almost surely, 2445970772 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 445970772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633999828).

445970772 is an abundant number, since it is smaller than the sum of its proper divisors (822028884).

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

445970772 is a wasteful number, since it uses less digits than its factorization.

445970772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 445970772 is about 21118.0200776493. The cubic root of 445970772 is about 764.0154346635.

The spelling of 445970772 in words is "four hundred forty-five million, nine hundred seventy thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 113 117 156 162 226 234 324 339 351 452 468 678 702 937 1017 1053 1356 1404 1469 1874 2034 2106 2811 2938 3051 3748 4068 4212 4407 5622 5876 6102 8433 8814 9153 11244 12181 12204 13221 16866 17628 18306 24362 25299 26442 33732 36543 36612 39663 48724 50598 52884 73086 75897 79326 101196 105881 109629 118989 146172 151794 158652 211762 219258 237978 303588 317643 328887 423524 438516 475956 635286 657774 952929 986661 1270572 1315548 1376453 1905858 1973322 2752906 2858787 3811716 3946644 4129359 5505812 5717574 8258718 8576361 11435148 12388077 16517436 17152722 24776154 34305444 37164231 49552308 74328462 111492693 148656924 222985386 445970772