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851039982 = 2321319792423
BaseRepresentation
bin110010101110011…
…101011011101110
32012022101022101100
4302232131123232
53220331234412
6220240423530
730042502062
oct6256353356
92168338340
10851039982
113a7431a31
121b9017ba6
13107413770
1481053aa2
154eaa9edc
hex32b9d6ee

851039982 has 96 divisors (see below), whose sum is σ = 2117606400. Its totient is φ = 244835136.

The previous prime is 851039957. The next prime is 851040007. The reversal of 851039982 is 289930158.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (851039957) and next prime (851040007).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350023 + ... + 352445.

It is an arithmetic number, because the mean of its divisors is an integer number (22058400).

Almost surely, 2851039982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851039982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058803200).

851039982 is an abundant number, since it is smaller than the sum of its proper divisors (1266566418).

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

851039982 is a wasteful number, since it uses less digits than its factorization.

851039982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 851039982 is about 29172.5895662349. The cubic root of 851039982 is about 947.6544098966.

The spelling of 851039982 in words is "eight hundred fifty-one million, thirty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 79 114 117 158 171 234 237 247 342 474 494 711 741 1027 1422 1482 1501 2054 2223 2423 3002 3081 4446 4503 4846 6162 7269 9006 9243 13509 14538 18486 19513 21807 27018 31499 39026 43614 46037 58539 62998 92074 94497 117078 138111 175617 188994 191417 276222 283491 351234 382834 414333 566982 574251 598481 828666 1148502 1196962 1722753 1795443 2488421 3445506 3590886 3636923 4976842 5386329 7273846 7465263 10772658 10910769 14930526 21821538 22395789 32732307 44791578 47279999 65464614 94559998 141839997 283679994 425519991 851039982