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42640760 = 2351773859
BaseRepresentation
bin1010001010101…
…0010101111000
32222020101010102
42202222111320
541404001020
64121534532
71025304041
oct242522570
988211112
1042640760
11220846a8
1212344448
138aac826
14593d8c8
153b24475
hex28aa578

42640760 has 64 divisors (see below), whose sum is σ = 103096800. Its totient is φ = 15814656.

The previous prime is 42640757. The next prime is 42640771. The reversal of 42640760 is 6704624.

It is a plaindrome in base 12.

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, 49211 + ... + 50069.

Almost surely, 242640760 is an apocalyptic number.

42640760 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 42640760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51548400).

42640760 is an abundant number, since it is smaller than the sum of its proper divisors (60456040).

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

42640760 is a wasteful number, since it uses less digits than its factorization.

42640760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 42640760 is about 6529.9892802362. The cubic root of 42640760 is about 349.3614479571.

The spelling of 42640760 in words is "forty-two million, six hundred forty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 859 1241 1460 1718 2482 2920 3436 4295 4964 6205 6872 8590 9928 12410 14603 17180 24820 29206 34360 49640 58412 62707 73015 116824 125414 146030 250828 292060 313535 501656 584120 627070 1066019 1254140 2132038 2508280 4264076 5330095 8528152 10660190 21320380 42640760