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42243040 = 255737717
BaseRepresentation
bin1010000100100…
…1001111100000
32221111011120001
42201021033200
541303234130
64105225344
71022026360
oct241111740
987434501
1042243040
1121932904
1212192254
1389a07a8
1458789a0
153a966ca
hex28493e0

42243040 has 48 divisors (see below), whose sum is σ = 114059232. Its totient is φ = 14482944.

The previous prime is 42243037. The next prime is 42243041. The reversal of 42243040 is 4034224.

It is a junction number, because it is equal to n+sod(n) for n = 42242999 and 42243017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17739 + ... + 19978.

It is an arithmetic number, because the mean of its divisors is an integer number (2376234).

Almost surely, 242243040 is an apocalyptic number.

42243040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42243040 is an abundant number, since it is smaller than the sum of its proper divisors (71816192).

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

42243040 is a wasteful number, since it uses less digits than its factorization.

42243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37739 (or 37731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42243040 is about 6499.4645933338. The cubic root of 42243040 is about 348.2718622529.

Adding to 42243040 its reverse (4034224), we get a palindrome (46277264).

The spelling of 42243040 in words is "forty-two million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 37717 75434 150868 188585 264019 301736 377170 528038 603472 754340 1056076 1206944 1320095 1508680 2112152 2640190 3017360 4224304 5280380 6034720 8448608 10560760 21121520 42243040