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42706840 = 23511312101
BaseRepresentation
bin1010001011101…
…0011110011000
32222100201202211
42202322132120
541413104330
64123204504
71026000511
oct242723630
988321684
1042706840
112211a310
1212376734
138b03927
145959a08
153b38d2a
hex28ba798

42706840 has 96 divisors (see below), whose sum is σ = 109388880. Its totient is φ = 14880000.

The previous prime is 42706799. The next prime is 42706913. The reversal of 42706840 is 4860724.

42706840 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 (31).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 422790 + ... + 422890.

Almost surely, 242706840 is an apocalyptic number.

42706840 is a gapful number since it is divisible by the number (40) 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 42706840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54694440).

42706840 is an abundant number, since it is smaller than the sum of its proper divisors (66682040).

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

42706840 is a wasteful number, since it uses less digits than its factorization.

42706840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42706840 is about 6535.0470541535. The cubic root of 42706840 is about 349.5418222394.

The spelling of 42706840 in words is "forty-two million, seven hundred six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 101 110 124 155 202 220 248 310 341 404 440 505 620 682 808 961 1010 1111 1240 1364 1705 1922 2020 2222 2728 3131 3410 3844 4040 4444 4805 5555 6262 6820 7688 8888 9610 10571 11110 12524 13640 15655 19220 21142 22220 25048 31310 34441 38440 42284 44440 52855 62620 68882 84568 97061 105710 125240 137764 172205 194122 211420 275528 344410 388244 422840 485305 688820 776488 970610 1067671 1377640 1941220 2135342 3882440 4270684 5338355 8541368 10676710 21353420 42706840