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4444854090 = 235315921373
BaseRepresentation
bin1000010001110111…
…10001011101001010
3102110202202222112120
410020323301131022
533100340312330
62013020352110
7215101431165
oct41073613512
912422688476
104444854090
111981005736
12a406a5636
1355ab390a1
14302472adc
151b0348c10
hex108ef174a

4444854090 has 96 divisors (see below), whose sum is σ = 11209729536. Its totient is φ = 1126796160.

The previous prime is 4444854083. The next prime is 4444854107. The reversal of 4444854090 is 904584444.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3236644 + ... + 3238016.

It is an arithmetic number, because the mean of its divisors is an integer number (116768016).

Almost surely, 24444854090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444854090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604864768).

4444854090 is an abundant number, since it is smaller than the sum of its proper divisors (6764875446).

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

4444854090 is a wasteful number, since it uses less digits than its factorization.

4444854090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4444854090 is about 66669.7389375420. The cubic root of 4444854090 is about 1644.1918949759.

The spelling of 4444854090 in words is "four billion, four hundred forty-four million, eight hundred fifty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 1373 1770 1829 2746 3481 3658 4119 5487 6865 6962 8238 9145 10443 10974 13730 17405 18290 20595 20886 27435 34810 41190 42563 52215 54870 81007 85126 104430 107911 127689 162014 212815 215822 243021 255378 323733 405035 425630 486042 539555 638445 647466 810070 1079110 1215105 1276890 1618665 2430210 2511217 3237330 4779413 5022434 7533651 9558826 12556085 14338239 15067302 23897065 25112170 28676478 37668255 47794130 71691195 75336510 143382390 148161803 296323606 444485409 740809015 888970818 1481618030 2222427045 4444854090