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42243012 = 2233771787
BaseRepresentation
bin1010000100100…
…1001111000100
32221111011112000
42201021033010
541303234022
64105225300
71022026320
oct241111704
987434460
1042243012
1121932889
1212192230
1389a0786
145878980
153a966ac
hex28493c4

42243012 has 96 divisors (see below), whose sum is σ = 127088640. Its totient is φ = 11884320.

The previous prime is 42243007. The next prime is 42243013. The reversal of 42243012 is 21034224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42243013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53283 + ... + 54069.

It is an arithmetic number, because the mean of its divisors is an integer number (1323840).

Almost surely, 242243012 is an apocalyptic number.

42243012 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 42243012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63544320).

42243012 is an abundant number, since it is smaller than the sum of its proper divisors (84845628).

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

42243012 is a wasteful number, since it uses less digits than its factorization.

42243012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42243012 is about 6499.4624393099. The cubic root of 42243012 is about 348.2717853044.

Adding to 42243012 its reverse (21034224), we get a palindrome (63277236).

It can be divided in two parts, 422 and 43012, that added together give a palindrome (43434).

The spelling of 42243012 in words is "forty-two million, two hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 787 852 994 1278 1491 1574 1917 1988 2361 2556 2982 3148 3834 4473 4722 5509 5964 7083 7668 8946 9444 11018 13419 14166 16527 17892 21249 22036 26838 28332 33054 42498 49581 53676 55877 66108 84996 99162 111754 148743 167631 198324 223508 297486 335262 391139 502893 594972 670524 782278 1005786 1173417 1508679 1564556 2011572 2346834 3017358 3520251 4693668 6034716 7040502 10560753 14081004 21121506 42243012