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4282208112 = 2437134432213
BaseRepresentation
bin1111111100111101…
…0100111101110000
3102001102201201012110
43333033110331300
532232221124422
61544530325320
7211055111520
oct37717247560
912042651173
104282208112
1118a8216376
129b6129840
13533230170
142c8a15680
151a0e1c60c
hexff3d4f70

4282208112 has 160 divisors (see below), whose sum is σ = 13652126208. Its totient is φ = 1126315008.

The previous prime is 4282208107. The next prime is 4282208129. The reversal of 4282208112 is 2118022824.

It is a self number, because there is not a number n which added to its sum of digits gives 4282208112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933918 + ... + 1936130.

Almost surely, 24282208112 is an apocalyptic number.

4282208112 is a gapful number since it is divisible by the number (42) 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 4282208112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826063104).

4282208112 is an abundant number, since it is smaller than the sum of its proper divisors (9369918096).

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

4282208112 is a wasteful number, since it uses less digits than its factorization.

4282208112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4282208112 is about 65438.5827474893. The cubic root of 4282208112 is about 1623.8874419469.

The spelling of 4282208112 in words is "four billion, two hundred eighty-two million, two hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 443 546 624 728 886 1092 1329 1456 1772 2184 2213 2658 3101 3544 4368 4426 5316 5759 6202 6639 7088 8852 9303 10632 11518 12404 13278 15491 17277 17704 18606 21264 23036 24808 26556 28769 30982 34554 35408 37212 40313 46072 46473 49616 53112 57538 61964 69108 74424 80626 86307 92144 92946 106224 115076 120939 123928 138216 148848 161252 172614 185892 201383 230152 241878 247856 276432 322504 345228 371784 402766 460304 483756 604149 645008 690456 743568 805532 967512 980359 1208298 1380912 1611064 1935024 1960718 2416596 2941077 3222128 3921436 4833192 5882154 6862513 7842872 9666384 11764308 12744667 13725026 15685744 20587539 23528616 25489334 27450052 38234001 41175078 47057232 50978668 54900104 76468002 82350156 89212669 101957336 109800208 152936004 164700312 178425338 203914672 267638007 305872008 329400624 356850676 535276014 611744016 713701352 1070552028 1427402704 2141104056 4282208112