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42934584 = 23372113319
BaseRepresentation
bin1010001111001…
…0000100111000
32222210022011210
42203302010320
541442401314
64132123120
71030636500
oct243620470
988708153
1042934584
1122265430
12124664a0
138b834a4
1459b8a00
153b81559
hex28f2138

42934584 has 96 divisors (see below), whose sum is σ = 136252800. Its totient is φ = 11148480.

The previous prime is 42934561. The next prime is 42934607. The reversal of 42934584 is 48543924.

It is an interprime number because it is at equal distance from previous prime (42934561) and next prime (42934607).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11277 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (1419300).

Almost surely, 242934584 is an apocalyptic number.

42934584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42934584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68126400).

42934584 is an abundant number, since it is smaller than the sum of its proper divisors (93318216).

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

42934584 is a wasteful number, since it uses less digits than its factorization.

42934584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 42934584 is about 6552.4487025844. The cubic root of 42934584 is about 350.1620582849.

The spelling of 42934584 in words is "forty-two million, nine hundred thirty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 3319 4312 6468 6638 9957 12936 13276 19914 23233 26552 36509 39828 46466 69699 73018 79656 92932 109527 139398 146036 162631 185864 219054 255563 278796 292072 325262 438108 487893 511126 557592 650524 766689 876216 975786 1022252 1301048 1533378 1788941 1951572 2044504 3066756 3577882 3903144 5366823 6133512 7155764 10733646 14311528 21467292 42934584