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42526640 = 24513103397
BaseRepresentation
bin1010001000111…
…0011110110000
32222000120120202
42202032132300
541341323030
64115254332
71024320242
oct242163660
988016522
1042526640
1122006992
12122aa3a8
138a6c8c0
145910092
153b00745
hex288e7b0

42526640 has 80 divisors (see below), whose sum is σ = 107784768. Its totient is φ = 15510528.

The previous prime is 42526621. The next prime is 42526651. The reversal of 42526640 is 4662524.

It is a tau number, because it is divible by the number of its divisors (80).

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, 106922 + ... + 107318.

Almost surely, 242526640 is an apocalyptic number.

42526640 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 42526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892384).

42526640 is an abundant number, since it is smaller than the sum of its proper divisors (65258128).

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

42526640 is a wasteful number, since it uses less digits than its factorization.

42526640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 42526640 is about 6521.2452798526. The cubic root of 42526640 is about 349.0495026975.

The spelling of 42526640 in words is "forty-two million, five hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 397 412 515 520 794 824 1030 1040 1339 1588 1648 1985 2060 2678 3176 3970 4120 5161 5356 6352 6695 7940 8240 10322 10712 13390 15880 20644 21424 25805 26780 31760 40891 41288 51610 53560 81782 82576 103220 107120 163564 204455 206440 327128 408910 412880 531583 654256 817820 1063166 1635640 2126332 2657915 3271280 4252664 5315830 8505328 10631660 21263320 42526640