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42708276 = 223313191601
BaseRepresentation
bin1010001011101…
…0110100110100
32222100210202000
42202322310310
541413131101
64123215300
71026004632
oct242726464
988323660
1042708276
11221203a6
1212377530
138b04490
14595a352
153b39486
hex28bad34

42708276 has 96 divisors (see below), whose sum is σ = 125596800. Its totient is φ = 12441600.

The previous prime is 42708247. The next prime is 42708277. The reversal of 42708276 is 67280724.

42708276 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 self number, because there is not a number n which added to its sum of digits gives 42708276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42708277) 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 31 ways as a sum of consecutive naturals, for example, 25876 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (1308300).

Almost surely, 242708276 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 42708276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62798400).

42708276 is an abundant number, since it is smaller than the sum of its proper divisors (82888524).

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

42708276 is a wasteful number, since it uses less digits than its factorization.

42708276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42708276 is about 6535.1569223700. The cubic root of 42708276 is about 349.5457399290.

The spelling of 42708276 in words is "forty-two million, seven hundred eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 1601 2052 2223 2964 3202 4446 4803 6404 6669 8892 9606 13338 14409 19212 20813 26676 28818 30419 41626 43227 57636 60838 62439 83252 86454 91257 121676 124878 172908 182514 187317 249756 273771 365028 374634 395447 547542 561951 749268 790894 821313 1095084 1123902 1186341 1581788 1642626 2247804 2372682 3285252 3559023 4745364 7118046 10677069 14236092 21354138 42708276