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445252608 = 2103248313
BaseRepresentation
bin11010100010100…
…000010000000000
31011000211011202100
4122202200100000
51402441040413
6112103150400
714014404363
oct3242402000
91130734670
10445252608
11209373969
12105145400
1371326ba8
14431c40da
1529151a73
hex1a8a0400

445252608 has 66 divisors (see below), whose sum is σ = 1285683854. Its totient is φ = 148414464.

The previous prime is 445252589. The next prime is 445252609. The reversal of 445252608 is 806252544.

It is a happy number.

445252608 is a `hidden beast` number, since 4 + 45 + 2 + 5 + 2 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 105513984 = 18432^2 + 10272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (445252609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14941 + ... + 33372.

Almost surely, 2445252608 is an apocalyptic number.

445252608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

445252608 is an abundant number, since it is smaller than the sum of its proper divisors (840431246).

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

445252608 is a wasteful number, since it uses less digits than its factorization.

445252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48339 (or 48318 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 445252608 is about 21101.0096440905. The cubic root of 445252608 is about 763.6051064510.

The spelling of 445252608 in words is "four hundred forty-five million, two hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 48313 96626 144939 193252 289878 386504 434817 579756 773008 869634 1159512 1546016 1739268 2319024 3092032 3478536 4638048 6184064 6957072 9276096 12368128 13914144 18552192 24736256 27828288 37104384 49472512 55656576 74208768 111313152 148417536 222626304 445252608