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42742650 = 2352674253
BaseRepresentation
bin1010001100001…
…1001101111010
32222102112220010
42203003031322
541420231100
64124042350
71026210066
oct243031572
988375803
1042742650
1122144205
12123933b6
138b17012
145968aa6
153b44750
hex28c337a

42742650 has 48 divisors (see below), whose sum is σ = 107609184. Its totient is φ = 11225280.

The previous prime is 42742649. The next prime is 42742657. The reversal of 42742650 is 5624724.

42742650 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 (30).

It is not an unprimeable number, because it can be changed into a prime (42742657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7924 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (2241858).

Almost surely, 242742650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42742650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53804592).

42742650 is an abundant number, since it is smaller than the sum of its proper divisors (64866534).

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

42742650 is a wasteful number, since it uses less digits than its factorization.

42742650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42742650 is about 6537.7863226019. The cubic root of 42742650 is about 349.6394927431.

The spelling of 42742650 in words is "forty-two million, seven hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 4253 5025 8506 10050 12759 21265 25518 42530 63795 106325 127590 212650 284951 318975 569902 637950 854853 1424755 1709706 2849510 4274265 7123775 8548530 14247550 21371325 42742650