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42522640 = 2454611153
BaseRepresentation
bin1010001000110…
…1100000010000
32222000101002121
42202031200100
541341211030
64115224024
71024302466
oct242154020
988011077
1042522640
1122003986
12122a8014
138a6ab34
14590c836
153aee47a
hex288d810

42522640 has 40 divisors (see below), whose sum is σ = 99165528. Its totient is φ = 16957440.

The previous prime is 42522611. The next prime is 42522677. The reversal of 42522640 is 4622524.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 36529936 = 2448^2 + 6044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36304 + ... + 37456.

Almost surely, 242522640 is an apocalyptic number.

42522640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42522640 is an abundant number, since it is smaller than the sum of its proper divisors (56642888).

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

42522640 is a wasteful number, since it uses less digits than its factorization.

42522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42522640 is about 6520.9385827502. The cubic root of 42522640 is about 349.0385586415.

The spelling of 42522640 in words is "forty-two million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 461 922 1153 1844 2305 2306 3688 4610 4612 5765 7376 9220 9224 11530 18440 18448 23060 36880 46120 92240 531533 1063066 2126132 2657665 4252264 5315330 8504528 10630660 21261320 42522640