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853286742 = 232711797793
BaseRepresentation
bin110010110111000…
…001111101010110
32012110121110100200
4302313001331112
53221420133432
6220400521330
730100550310
oct6267017526
92173543320
10853286742
113a8726a60
121b9920246
13107a1c2c9
148147a7b0
154eda0a7c
hex32dc1f56

853286742 has 96 divisors (see below), whose sum is σ = 2334458880. Its totient is φ = 218799360.

The previous prime is 853286737. The next prime is 853286761. The reversal of 853286742 is 247682358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105598 + ... + 113390.

It is an arithmetic number, because the mean of its divisors is an integer number (24317280).

Almost surely, 2853286742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853286742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167229440).

853286742 is an abundant number, since it is smaller than the sum of its proper divisors (1481172138).

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

853286742 is a wasteful number, since it uses less digits than its factorization.

853286742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7895 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 853286742 is about 29211.0722500904. The cubic root of 853286742 is about 948.4876183413.

The spelling of 853286742 in words is "eight hundred fifty-three million, two hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 79 99 126 154 158 198 231 237 462 474 553 693 711 869 1106 1386 1422 1659 1738 2607 3318 4977 5214 6083 7793 7821 9954 12166 15586 15642 18249 23379 36498 46758 54551 54747 70137 85723 109102 109494 140274 163653 171446 257169 327306 490959 514338 600061 615647 771507 981918 1200122 1231294 1543014 1800183 1846941 3600366 3693882 4309529 5400549 5540823 6772117 8619058 10801098 11081646 12928587 13544234 20316351 25857174 38785761 40632702 47404819 60949053 77571522 94809638 121898106 142214457 284428914 426643371 853286742