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42831620 = 22513257641
BaseRepresentation
bin1010001101100…
…0111100000100
32222121001221022
42203120330010
541431102440
64130010312
71030030346
oct243307404
988531838
1042831620
11221a5037
1212416998
138b48670
14598d296
153b60cb5
hex28d8f04

42831620 has 48 divisors (see below), whose sum is σ = 97393968. Its totient is φ = 15728640.

The previous prime is 42831587. The next prime is 42831631. The reversal of 42831620 is 2613824.

It can be written as a sum of positive squares in 8 ways, for example, as 3694084 + 39137536 = 1922^2 + 6256^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42831620.

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 15 ways as a sum of consecutive naturals, for example, 66500 + ... + 67140.

It is an arithmetic number, because the mean of its divisors is an integer number (2029041).

Almost surely, 242831620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42831620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48696984).

42831620 is an abundant number, since it is smaller than the sum of its proper divisors (54562348).

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

42831620 is a wasteful number, since it uses less digits than its factorization.

42831620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 42831620 is about 6544.5870763555. The cubic root of 42831620 is about 349.8819193509.

The spelling of 42831620 in words is "forty-two million, eight hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 641 1028 1282 1285 2564 2570 3205 3341 5140 6410 6682 8333 12820 13364 16666 16705 33332 33410 41665 66820 83330 164737 166660 329474 658948 823685 1647370 2141581 3294740 4283162 8566324 10707905 21415810 42831620