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42640692 = 22317434861
BaseRepresentation
bin1010001010101…
…0010100110100
32222020101000220
42202222110310
541404000232
64121534340
71025303613
oct242522464
988211026
1042640692
1122084646
12123443b0
138aac7a3
14593d87a
153b2442c
hex28aa534

42640692 has 48 divisors (see below), whose sum is σ = 107819712. Its totient is φ = 13063680.

The previous prime is 42640679. The next prime is 42640711. The reversal of 42640692 is 29604624.

It is a happy number.

It is a super-2 number, since 2×426406922 = 3636457228477728, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6342 + ... + 11202.

It is an arithmetic number, because the mean of its divisors is an integer number (2246244).

Almost surely, 242640692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42640692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53909856).

42640692 is an abundant number, since it is smaller than the sum of its proper divisors (65179020).

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

42640692 is a wasteful number, since it uses less digits than its factorization.

42640692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42640692 is about 6529.9840734875. The cubic root of 42640692 is about 349.3612622459.

The spelling of 42640692 in words is "forty-two million, six hundred forty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 4386 4861 8772 9722 14583 19444 29166 58332 82637 165274 209023 247911 330548 418046 495822 627069 836092 991644 1254138 2508276 3553391 7106782 10660173 14213564 21320346 42640692