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42609680 = 245532621
BaseRepresentation
bin1010001010001…
…0110000010000
32222011210111022
42202202300100
541402002210
64121135012
71025114321
oct242426020
988153438
1042609680
1122063313
121232a468
138a9b639
145932448
153b1a155
hex28a2c10

42609680 has 20 divisors (see below), whose sum is σ = 99067692. Its totient is φ = 17043840.

The previous prime is 42609673. The next prime is 42609691. The reversal of 42609680 is 8690624.

It can be written as a sum of positive squares in 2 ways, for example, as 8690704 + 33918976 = 2948^2 + 5824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 42609680.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266231 + ... + 266390.

Almost surely, 242609680 is an apocalyptic number.

42609680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42609680 is an abundant number, since it is smaller than the sum of its proper divisors (56458012).

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

42609680 is a wasteful number, since it uses less digits than its factorization.

42609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532634 (or 532628 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 42609680 is about 6527.6090569212. The cubic root of 42609680 is about 349.2765464609.

The spelling of 42609680 in words is "forty-two million, six hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 532621 1065242 2130484 2663105 4260968 5326210 8521936 10652420 21304840 42609680