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42097840 = 245526223
BaseRepresentation
bin1010000010010…
…1110010110000
32221012210101021
42200211302300
541234112330
64102145224
71020553141
oct240456260
987183337
1042097840
1121843804
1212122214
13894c685
14583bac8
153a6867a
hex2825cb0

42097840 has 20 divisors (see below), whose sum is σ = 97877664. Its totient is φ = 16839104.

The previous prime is 42097837. The next prime is 42097841. The reversal of 42097840 is 4879024.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42097796 and 42097805.

It is not an unprimeable number, because it can be changed into a prime (42097841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263032 + ... + 263191.

Almost surely, 242097840 is an apocalyptic number.

42097840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42097840 is an abundant number, since it is smaller than the sum of its proper divisors (55779824).

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

42097840 is a wasteful number, since it uses less digits than its factorization.

42097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526236 (or 526230 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 42097840 is about 6488.2848272868. The cubic root of 42097840 is about 347.8723713951.

The spelling of 42097840 in words is "forty-two million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 526223 1052446 2104892 2631115 4209784 5262230 8419568 10524460 21048920 42097840