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42569436 = 22372135569
BaseRepresentation
bin1010001001100…
…0111011011100
32222002202021210
42202120323130
541344210221
64120224420
71024556100
oct242307334
988082253
1042569436
1122036058
121230b110
138a86220
145921900
153b0d276
hex2898edc

42569436 has 72 divisors (see below), whose sum is σ = 124456080. Its totient is φ = 11225088.

The previous prime is 42569413. The next prime is 42569447. The reversal of 42569436 is 63496524.

42569436 = 1142 + 1152 + ... + 5052.

42569436 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 (39).

It is a junction number, because it is equal to n+sod(n) for n = 42569394 and 42569403.

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, 4860 + ... + 10428.

Almost surely, 242569436 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 42569436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62228040).

42569436 is an abundant number, since it is smaller than the sum of its proper divisors (81886644).

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

42569436 is a wasteful number, since it uses less digits than its factorization.

42569436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5594 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 42569436 is about 6524.5257298903. The cubic root of 42569436 is about 349.1665502272.

The spelling of 42569436 in words is "forty-two million, five hundred sixty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5569 7644 11138 16707 22276 33414 38983 66828 72397 77966 116949 144794 155932 217191 233898 272881 289588 434382 467796 506779 545762 818643 868764 1013558 1091524 1520337 1637286 2027116 3040674 3274572 3547453 6081348 7094906 10642359 14189812 21284718 42569436