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445250916 = 2232111398089
BaseRepresentation
bin11010100010011…
…111110101100100
31011000211002102200
4122202133311210
51402441012131
6112103134500
714014366425
oct3242376544
91130732380
10445250916
11209372670
12105144430
13713261a6
14431c364c
15291512e6
hex1a89fd64

445250916 has 72 divisors (see below), whose sum is σ = 1236799200. Its totient is φ = 133937280.

The previous prime is 445250899. The next prime is 445250947. The reversal of 445250916 is 619052544.

445250916 is a `hidden beast` number, since 44 + 525 + 0 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51000 + ... + 59088.

Almost surely, 2445250916 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 445250916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618399600).

445250916 is an abundant number, since it is smaller than the sum of its proper divisors (791548284).

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

445250916 is a wasteful number, since it uses less digits than its factorization.

445250916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 445250916 is about 21100.9695511841. The cubic root of 445250916 is about 763.6041391937.

The spelling of 445250916 in words is "four hundred forty-five million, two hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 834 1251 1529 1668 2502 3058 4587 5004 6116 8089 9174 13761 16178 18348 24267 27522 32356 48534 55044 72801 88979 97068 145602 177958 266937 291204 355916 533874 800811 1067748 1124371 1601622 2248742 3203244 3373113 4497484 6746226 10119339 12368081 13492452 20238678 24736162 37104243 40477356 49472324 74208486 111312729 148416972 222625458 445250916