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42283944 = 233521751
BaseRepresentation
bin1010000101001…
…1001110101000
32221120020200000
42201103032220
541311041234
64110143000
71022256543
oct241231650
987506600
1042283944
112196060a
12121b1a60
1389b62b1
14588985a
153aa3899
hex28533a8

42283944 has 48 divisors (see below), whose sum is σ = 118765920. Its totient is φ = 14094000.

The previous prime is 42283937. The next prime is 42283951. The reversal of 42283944 is 44938224.

It is an interprime number because it is at equal distance from previous prime (42283937) and next prime (42283951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42283899 and 42283908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8932 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (2474290).

Almost surely, 242283944 is an apocalyptic number.

It is an amenable number.

42283944 is an abundant number, since it is smaller than the sum of its proper divisors (76481976).

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

42283944 is a wasteful number, since it uses less digits than its factorization.

42283944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21756 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42283944 is about 6502.6105526934. The cubic root of 42283944 is about 348.3842367149.

The spelling of 42283944 in words is "forty-two million, two hundred eighty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 21751 43502 65253 87004 130506 174008 195759 261012 391518 522024 587277 783036 1174554 1566072 1761831 2349108 3523662 4698216 5285493 7047324 10570986 14094648 21141972 42283944