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42683920 = 245533549
BaseRepresentation
bin1010001011010…
…0111000010000
32222022120022221
42202310320100
541411341140
64122510424
71025543626
oct242647020
988276287
1042683920
1122104074
1212365414
138ac6376
145951516
153b3214a
hex28b4e10

42683920 has 20 divisors (see below), whose sum is σ = 99240300. Its totient is φ = 17073536.

The previous prime is 42683909. The next prime is 42683939. The reversal of 42683920 is 2938624.

It can be written as a sum of positive squares in 2 ways, for example, as 4343056 + 38340864 = 2084^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266695 + ... + 266854.

It is an arithmetic number, because the mean of its divisors is an integer number (4962015).

Almost surely, 242683920 is an apocalyptic number.

42683920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42683920 is an abundant number, since it is smaller than the sum of its proper divisors (56556380).

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

42683920 is a wasteful number, since it uses less digits than its factorization.

42683920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533562 (or 533556 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 42683920 is about 6533.2931971556. The cubic root of 42683920 is about 349.4792800939.

The spelling of 42683920 in words is "forty-two million, six hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 533549 1067098 2134196 2667745 4268392 5335490 8536784 10670980 21341960 42683920