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42428760 = 23351132143
BaseRepresentation
bin1010000111011…
…0100101011000
32221211121022120
42201312211120
541330210020
64113221240
71023432003
oct241664530
987747276
1042428760
1121a4a3a0
1212261820
138a3719a
1458c653a
153ad1740
hex2876958

42428760 has 64 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 10285440.

The previous prime is 42428759. The next prime is 42428791. The reversal of 42428760 is 6782424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14752 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 242428760 is an apocalyptic number.

42428760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42428760 is an abundant number, since it is smaller than the sum of its proper divisors (96433320).

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

42428760 is a wasteful number, since it uses less digits than its factorization.

42428760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32168 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 42428760 is about 6513.7362550229. The cubic root of 42428760 is about 348.7815043289.

The spelling of 42428760 in words is "forty-two million, four hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 32143 64286 96429 128572 160715 192858 257144 321430 353573 385716 482145 642860 707146 771432 964290 1060719 1285720 1414292 1767865 1928580 2121438 2828584 3535730 3857160 4242876 5303595 7071460 8485752 10607190 14142920 21214380 42428760