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42790428 = 223217292411
BaseRepresentation
bin1010001100111…
…0111000011100
32222111222102200
42203032320130
541423243203
64125051500
71026466302
oct243167034
988458380
1042790428
112217709a
12123b6b90
138b329a5
14597c272
153b539a3
hex28cee1c

42790428 has 72 divisors (see below), whose sum is σ = 118525680. Its totient is φ = 12956160.

The previous prime is 42790427. The next prime is 42790439. The reversal of 42790428 is 82409724.

42790428 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 42790392 and 42790401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42790427) 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, 16543 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 242790428 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 42790428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59262840).

42790428 is an abundant number, since it is smaller than the sum of its proper divisors (75735252).

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

42790428 is a wasteful number, since it uses less digits than its factorization.

42790428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42790428 is about 6541.4392911652. The cubic root of 42790428 is about 349.7697206318.

The spelling of 42790428 in words is "forty-two million, seven hundred ninety thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2411 2958 4437 4822 5916 7233 8874 9644 14466 17748 21699 28932 40987 43398 69919 81974 86796 122961 139838 163948 209757 245922 279676 368883 419514 491844 629271 737766 839028 1188623 1258542 1475532 2377246 2517084 3565869 4754492 7131738 10697607 14263476 21395214 42790428