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4445966448 = 2433711133657
BaseRepresentation
bin1000010010000000…
…00001000001110000
3102110211212111102000
410021000001001300
533101131411243
62013100254000
7215114043210
oct41100010160
912424774360
104445966448
1119816a5440
12a40b41300
1355b1384a1
14302682240
151b04b85d3
hex109001070

4445966448 has 160 divisors (see below), whose sum is σ = 15910648320. Its totient is φ = 1154787840.

The previous prime is 4445966407. The next prime is 4445966501. The reversal of 4445966448 is 8446695444.

4445966448 is a `hidden beast` number, since 4 + 4 + 4 + 596 + 6 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4445966394 and 4445966403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33565 + ... + 100092.

It is an arithmetic number, because the mean of its divisors is an integer number (99441552).

Almost surely, 24445966448 is an apocalyptic number.

4445966448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4445966448 is an abundant number, since it is smaller than the sum of its proper divisors (11464681872).

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

4445966448 is a wasteful number, since it uses less digits than its factorization.

4445966448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133692 (or 133680 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 4445966448 is about 66678.0807162294. The cubic root of 4445966448 is about 1644.3290406447.

The spelling of 4445966448 in words is "four billion, four hundred forty-five million, nine hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 133657 267314 400971 534628 801942 935599 1069256 1202913 1470227 1603884 1871198 2138512 2405826 2806797 2940454 3207768 3608739 3742396 4410681 4811652 5613594 5880908 6415536 7217478 7484792 8420391 8821362 9623304 10291589 11227188 11761816 13232043 14434956 14969584 16840782 17642724 19246608 20583178 22454376 23523632 25261173 26464086 28869912 30874767 33681564 35285448 39696129 41166356 44908752 50522346 52928172 57739824 61749534 67363128 70570896 79392258 82332712 92624301 101044692 105856344 123499068 134726256 158784516 164665424 185248602 202089384 211712688 246998136 277872903 317569032 370497204 404178768 493996272 555745806 635138064 740994408 1111491612 1481988816 2222983224 4445966448