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1982087856 = 243276832879
BaseRepresentation
bin111011000100100…
…0100001010110000
312010010122111101100
41312021010022300
513024403302411
6524403004400
7100055316540
oct16611041260
95103574340
101982087856
11927922a41
12473969700
13257845368
1414b355320
15b9025456
hex762442b0

1982087856 has 120 divisors (see below), whose sum is σ = 6351022080. Its totient is φ = 565285248.

The previous prime is 1982087819. The next prime is 1982087873. The reversal of 1982087856 is 6587802891.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687025 + ... + 689903.

It is an arithmetic number, because the mean of its divisors is an integer number (52925184).

Almost surely, 21982087856 is an apocalyptic number.

1982087856 is a gapful number since it is divisible by the number (16) 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 1982087856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175511040).

1982087856 is an abundant number, since it is smaller than the sum of its proper divisors (4368934224).

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

1982087856 is a wasteful number, since it uses less digits than its factorization.

1982087856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 1982087856 is about 44520.6452783425. The cubic root of 1982087856 is about 1256.1484502751.

The spelling of 1982087856 in words is "one billion, nine hundred eighty-two million, eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 683 1008 1366 2049 2732 2879 4098 4781 5464 5758 6147 8196 8637 9562 10928 11516 12294 14343 16392 17274 19124 20153 23032 24588 25911 28686 32784 34548 38248 40306 43029 46064 49176 51822 57372 60459 69096 76496 80612 86058 98352 103644 114744 120918 138192 161224 172116 181377 207288 229488 241836 322448 344232 362754 414576 483672 688464 725508 967344 1451016 1966357 2902032 3932714 5899071 7865428 11798142 13764499 15730856 17697213 23596284 27528998 31461712 35394426 41293497 47192568 55057996 70788852 82586994 94385136 110115992 123880491 141577704 165173988 220231984 247760982 283155408 330347976 495521964 660695952 991043928 1982087856