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42653034 = 2331797479
BaseRepresentation
bin1010001010110…
…1010101101010
32222020222222000
42202231111222
541404344114
64122111430
71025354604
oct242552552
988228860
1042653034
1122092946
121234b576
138ab52a8
145944174
153b27e09
hex28ad56a

42653034 has 64 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 13215744.

The previous prime is 42653029. The next prime is 42653041. The reversal of 42653034 is 43035624.

42653034 is a `hidden beast` number, since 4 + 2 + 653 + 0 + 3 + 4 = 666.

42653034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42652989 and 42653007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88807 + ... + 89285.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 242653034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42653034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

42653034 is an abundant number, since it is smaller than the sum of its proper divisors (58953366).

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

42653034 is a wasteful number, since it uses less digits than its factorization.

42653034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42653034 is about 6530.9290303907. The cubic root of 42653034 is about 349.3949655823.

Adding to 42653034 its reverse (43035624), we get a palindrome (85688658).

The spelling of 42653034 in words is "forty-two million, six hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 97 102 153 194 291 306 459 479 582 873 918 958 1437 1649 1746 2619 2874 3298 4311 4947 5238 8143 8622 9894 12933 14841 16286 24429 25866 29682 44523 46463 48858 73287 89046 92926 139389 146574 219861 278778 418167 439722 789871 836334 1254501 1579742 2369613 2509002 4739226 7108839 14217678 21326517 42653034