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42674040 = 2334513171
BaseRepresentation
bin1010001011001…
…0011101111000
32222022001210000
42202302131320
541411032130
64122353000
71025503053
oct242623570
988261700
1042674040
11220a7702
121235b760
138ac1a16
14594ba9a
153b2e260
hex28b2778

42674040 has 80 divisors (see below), whose sum is σ = 143443080. Its totient is φ = 11378880.

The previous prime is 42674003. The next prime is 42674041. The reversal of 42674040 is 4047624.

42674040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42673995 and 42674013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3346 + ... + 9825.

Almost surely, 242674040 is an apocalyptic number.

42674040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42674040 is an abundant number, since it is smaller than the sum of its proper divisors (100769040).

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

42674040 is a wasteful number, since it uses less digits than its factorization.

42674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42674040 is about 6532.5370263015. The cubic root of 42674040 is about 349.4523134850.

The spelling of 42674040 in words is "forty-two million, six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13171 26342 39513 52684 65855 79026 105368 118539 131710 158052 197565 237078 263420 316104 355617 395130 474156 526840 592695 711234 790260 948312 1066851 1185390 1422468 1580520 1778085 2133702 2370780 2844936 3556170 4267404 4741560 5334255 7112340 8534808 10668510 14224680 21337020 42674040