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42229530 = 23257173943
BaseRepresentation
bin1010000100010…
…1111100011010
32221110111000200
42201011330122
541302321110
64105043030
71021642110
oct241057432
987414020
1042229530
1121923742
1212186476
1389975b5
145873ab0
153a926c0
hex2845f1a

42229530 has 96 divisors (see below), whose sum is σ = 132897024. Its totient is φ = 9082368.

The previous prime is 42229519. The next prime is 42229531. The reversal of 42229530 is 3592224.

It is a junction number, because it is equal to n+sod(n) for n = 42229494 and 42229503.

It is not an unprimeable number, because it can be changed into a prime (42229531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8739 + ... + 12681.

It is an arithmetic number, because the mean of its divisors is an integer number (1384344).

Almost surely, 242229530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42229530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66448512).

42229530 is an abundant number, since it is smaller than the sum of its proper divisors (90667494).

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

42229530 is a wasteful number, since it uses less digits than its factorization.

42229530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42229530 is about 6498.4251938450. The cubic root of 42229530 is about 348.2347306564.

The spelling of 42229530 in words is "forty-two million, two hundred twenty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 3943 5355 7886 10710 11829 19715 23658 27601 35487 39430 55202 59145 67031 70974 82803 118290 134062 138005 165606 177435 201093 248409 276010 335155 354870 402186 414015 469217 496818 603279 670310 828030 938434 1005465 1206558 1242045 1407651 2010930 2346085 2484090 2815302 3016395 4222953 4692170 6032790 7038255 8445906 14076510 21114765 42229530