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42803760 = 2435178349
BaseRepresentation
bin1010001101001…
…0001000110000
32222112122201110
42203102020300
541424210020
64125233320
71026553206
oct243221060
988478643
1042803760
112218610a
1212402840
138b38a8c
145983076
153b578e0
hex28d2230

42803760 has 40 divisors (see below), whose sum is σ = 132692400. Its totient is φ = 11414272.

The previous prime is 42803753. The next prime is 42803767. The reversal of 42803760 is 6730824.

It is an interprime number because it is at equal distance from previous prime (42803753) and next prime (42803767).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42803767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88935 + ... + 89414.

It is an arithmetic number, because the mean of its divisors is an integer number (3317310).

Almost surely, 242803760 is an apocalyptic number.

42803760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42803760 is an abundant number, since it is smaller than the sum of its proper divisors (89888640).

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

42803760 is a wasteful number, since it uses less digits than its factorization.

42803760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178365 (or 178359 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42803760 is about 6542.4582535925. The cubic root of 42803760 is about 349.8060421951.

Adding to 42803760 its product of nonzero digits (8064), we get a palindrome (42811824).

The spelling of 42803760 in words is "forty-two million, eight hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178349 356698 535047 713396 891745 1070094 1426792 1783490 2140188 2675235 2853584 3566980 4280376 5350470 7133960 8560752 10700940 14267920 21401880 42803760