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2852656716 = 22372131572377
BaseRepresentation
bin1010101000001000…
…0001011001001100
321100210202222100110
42222002001121030
521320240003331
61151022200020
7130456116300
oct25202013114
97323688313
102852656716
111234283238
12677423010
13366005970
141d0c0dd00
1511a68b946
hexaa08164c

2852656716 has 144 divisors (see below), whose sum is σ = 8395177056. Its totient is φ = 747242496.

The previous prime is 2852656699. The next prime is 2852656771. The reversal of 2852656716 is 6176562582.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1198920 + ... + 1201296.

Almost surely, 22852656716 is an apocalyptic number.

2852656716 is a gapful number since it is divisible by the number (26) 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 2852656716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197588528).

2852656716 is an abundant number, since it is smaller than the sum of its proper divisors (5542520340).

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

2852656716 is a wasteful number, since it uses less digits than its factorization.

2852656716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2559 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 2852656716 is about 53410.2678892364. The cubic root of 2852656716 is about 1418.2403509447.

The spelling of 2852656716 in words is "two billion, eight hundred fifty-two million, six hundred fifty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 157 182 196 273 294 314 364 471 546 588 628 637 942 1092 1099 1274 1884 1911 2041 2198 2377 2548 3297 3822 4082 4396 4754 6123 6594 7131 7644 7693 8164 9508 12246 13188 14262 14287 15386 16639 23079 24492 28524 28574 30772 30901 33278 42861 46158 49917 57148 61802 66556 85722 92316 92703 99834 100009 116473 123604 171444 185406 199668 200018 216307 232946 300027 349419 370812 373189 400036 432614 465892 600054 648921 698838 746378 865228 1119567 1200108 1297842 1397676 1492756 1514149 2239134 2595684 2612323 3028298 4478268 4542447 4851457 5224646 6056596 7836969 9084894 9702914 10449292 14554371 15673938 18169788 18286261 19405828 29108742 31347876 33960199 36572522 54858783 58217484 67920398 73145044 101880597 109717566 135840796 203761194 219435132 237721393 407522388 475442786 713164179 950885572 1426328358 2852656716