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445223808 = 27321920341
BaseRepresentation
bin11010100010011…
…001001110000000
31011000202201020200
4122202121032000
51402434130213
6112102405200
714014224411
oct3242311600
91130681220
10445223808
11209354267
12105130800
1371316a53
14431b7808
1529148273
hex1a899380

445223808 has 96 divisors (see below), whose sum is σ = 1348674600. Its totient is φ = 140590080.

The previous prime is 445223803. The next prime is 445223813. The reversal of 445223808 is 808322544.

It is an interprime number because it is at equal distance from previous prime (445223803) and next prime (445223813).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445223803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11718 + ... + 32058.

Almost surely, 2445223808 is an apocalyptic number.

445223808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674337300).

445223808 is an abundant number, since it is smaller than the sum of its proper divisors (903450792).

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

445223808 is a wasteful number, since it uses less digits than its factorization.

445223808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20380 (or 20365 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 445223808 is about 21100.3272012545. The cubic root of 445223808 is about 763.5886421632.

The spelling of 445223808 in words is "four hundred forty-five million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 20341 21888 40682 61023 81364 122046 162728 183069 244092 325456 366138 386479 488184 650912 732276 772958 976368 1159437 1301824 1464552 1545916 1952736 2318874 2603648 2929104 3091832 3478311 3905472 4637748 5858208 6183664 6956622 7810944 9275496 11716416 12367328 13913244 18550992 23432832 24734656 27826488 37101984 49469312 55652976 74203968 111305952 148407936 222611904 445223808