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42783240 = 2335794513
BaseRepresentation
bin1010001100110…
…1001000001000
32222111121120110
42203031020020
541423030430
64124554320
71026436323
oct243151010
988447513
1042783240
1122171755
12123b29a0
138b2c636
1459797ba
153b517b0
hex28cd208

42783240 has 64 divisors (see below), whose sum is σ = 130003200. Its totient is φ = 11261952.

The previous prime is 42783217. The next prime is 42783241. The reversal of 42783240 is 4238724.

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

It is a junction number, because it is equal to n+sod(n) for n = 42783198 and 42783207.

It is not an unprimeable number, because it can be changed into a prime (42783241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7224 + ... + 11736.

It is an arithmetic number, because the mean of its divisors is an integer number (2031300).

Almost surely, 242783240 is an apocalyptic number.

42783240 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 42783240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65001600).

42783240 is an abundant number, since it is smaller than the sum of its proper divisors (87219960).

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

42783240 is a wasteful number, since it uses less digits than its factorization.

42783240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42783240 is about 6540.8898477195. The cubic root of 42783240 is about 349.7501345884.

The spelling of 42783240 in words is "forty-two million, seven hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4513 4740 9026 9480 13539 18052 22565 27078 36104 45130 54156 67695 90260 108312 135390 180520 270780 356527 541560 713054 1069581 1426108 1782635 2139162 2852216 3565270 4278324 5347905 7130540 8556648 10695810 14261080 21391620 42783240