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42611440 = 2452918367
BaseRepresentation
bin1010001010001…
…1001011110000
32222011212220111
42202203023300
541402031230
64121151104
71025122414
oct242431360
988155814
1042611440
1122064673
121232b494
138a9c391
145932d44
153b1a92a
hex28a32f0

42611440 has 40 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 16455936.

The previous prime is 42611419. The next prime is 42611473. The reversal of 42611440 is 4411624.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6864 + ... + 11503.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 242611440 is an apocalyptic number.

42611440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42611440 is an abundant number, since it is smaller than the sum of its proper divisors (59882000).

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

42611440 is a wasteful number, since it uses less digits than its factorization.

42611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409 (or 18403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42611440 is about 6527.7438675242. The cubic root of 42611440 is about 349.2813553702.

The spelling of 42611440 in words is "forty-two million, six hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18367 36734 73468 91835 146936 183670 293872 367340 532643 734680 1065286 1469360 2130572 2663215 4261144 5326430 8522288 10652860 21305720 42611440