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42257034 = 2323767947
BaseRepresentation
bin1010000100110…
…0101010001010
32221111212202100
42201030222022
541304211114
64105414230
71022115231
oct241145212
987455670
1042257034
1121942376
121219a376
1389a6c81
14587db18
153a9a909
hex284ca8a

42257034 has 48 divisors (see below), whose sum is σ = 95535648. Its totient is φ = 13486176.

The previous prime is 42257029. The next prime is 42257041. The reversal of 42257034 is 43075224.

It is a junction number, because it is equal to n+sod(n) for n = 42256989 and 42257007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44149 + ... + 45095.

It is an arithmetic number, because the mean of its divisors is an integer number (1990326).

Almost surely, 242257034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42257034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47767824).

42257034 is an abundant number, since it is smaller than the sum of its proper divisors (53278614).

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

42257034 is a wasteful number, since it uses less digits than its factorization.

42257034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42257034 is about 6500.5410544046. The cubic root of 42257034 is about 348.3103157540.

The spelling of 42257034 in words is "forty-two million, two hundred fifty-seven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 37 67 74 111 134 201 222 333 402 603 666 947 1206 1894 2479 2841 4958 5682 7437 8523 14874 17046 22311 35039 44622 63449 70078 105117 126898 190347 210234 315351 380694 571041 630702 1142082 2347613 4695226 7042839 14085678 21128517 42257034