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42229080 = 2333561641
BaseRepresentation
bin1010000100010…
…1110101011000
32221110110102000
42201011311120
541302312310
64105041000
71021640565
oct241056530
987413360
1042229080
1121923373
1212186160
13899732a
14587386c
153a924c0
hex2845d58

42229080 has 128 divisors (see below), whose sum is σ = 143294400. Its totient is φ = 11059200.

The previous prime is 42229079. The next prime is 42229087. The reversal of 42229080 is 8092224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42229087) 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 31 ways as a sum of consecutive naturals, for example, 65560 + ... + 66200.

Almost surely, 242229080 is an apocalyptic number.

42229080 is a gapful number since it is divisible by the number (40) 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 42229080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71647200).

42229080 is an abundant number, since it is smaller than the sum of its proper divisors (101065320).

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

42229080 is a wasteful number, since it uses less digits than its factorization.

42229080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42229080 is about 6498.3905699796. The cubic root of 42229080 is about 348.2334937164.

The spelling of 42229080 in words is "forty-two million, two hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 641 732 915 1080 1098 1220 1282 1464 1647 1830 1923 2196 2440 2564 2745 3205 3294 3660 3846 4392 5128 5490 5769 6410 6588 7320 7692 8235 9615 10980 11538 12820 13176 15384 16470 17307 19230 21960 23076 25640 28845 32940 34614 38460 39101 46152 57690 65880 69228 76920 78202 86535 115380 117303 138456 156404 173070 195505 230760 234606 312808 346140 351909 391010 469212 586515 692280 703818 782020 938424 1055727 1173030 1407636 1564040 1759545 2111454 2346060 2815272 3519090 4222908 4692120 5278635 7038180 8445816 10557270 14076360 21114540 42229080