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42827640 = 2335734889
BaseRepresentation
bin1010001101011…
…1111101111000
32222120212110220
42203113331320
541430441030
64125540040
71030012632
oct243277570
988525426
1042827640
11221a2049
1212414620
138b468cb
14598ba52
153b5ea10
hex28d7f78

42827640 has 64 divisors (see below), whose sum is σ = 130269600. Its totient is φ = 11261952.

The previous prime is 42827639. The next prime is 42827663. The reversal of 42827640 is 4672824.

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, 6316 + ... + 11204.

Almost surely, 242827640 is an apocalyptic number.

42827640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42827640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65134800).

42827640 is an abundant number, since it is smaller than the sum of its proper divisors (87441960).

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

42827640 is a wasteful number, since it uses less digits than its factorization.

42827640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4972 counting only the distinct ones).

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

The square root of 42827640 is about 6544.2830012156. The cubic root of 42827640 is about 349.8710817721.

The spelling of 42827640 in words is "forty-two million, eight hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 4889 8760 9778 14667 19556 24445 29334 39112 48890 58668 73335 97780 117336 146670 195560 293340 356897 586680 713794 1070691 1427588 1784485 2141382 2855176 3568970 4282764 5353455 7137940 8565528 10706910 14275880 21413820 42827640