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1981350882 = 23476128643
BaseRepresentation
bin111011000011001…
…0000001111100010
312010002021001110000
41312012100033202
513024211212012
6524335120430
7100046130120
oct16606201742
95102231400
101981350882
1192746a275
12473673116
13257647a94
1414b202910
15b8e2bddc
hex761903e2

1981350882 has 80 divisors (see below), whose sum is σ = 5157294912. Its totient is φ = 556800480.

The previous prime is 1981350881. The next prime is 1981350919. The reversal of 1981350882 is 2880531891.

It is a happy number.

It is a super-3 number, since 3×19813508823 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1981350881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54853 + ... + 83495.

Almost surely, 21981350882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981350882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578647456).

1981350882 is an abundant number, since it is smaller than the sum of its proper divisors (3175944030).

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

1981350882 is a wasteful number, since it uses less digits than its factorization.

1981350882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1981350882 is about 44512.3677420108. The cubic root of 1981350882 is about 1255.9927451844.

The spelling of 1981350882 in words is "one billion, nine hundred eighty-one million, three hundred fifty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 81 122 126 162 183 189 366 378 427 549 567 854 1098 1134 1281 1647 2562 3294 3843 4941 7686 9882 11529 23058 28643 34587 57286 69174 85929 171858 200501 257787 401002 515574 601503 773361 1203006 1546722 1747223 1804509 2320083 3494446 3609018 4640166 5241669 5413527 10483338 10827054 12230561 15725007 16240581 24461122 31450014 32481162 36691683 47175021 73383366 94350042 110075049 141525063 220150098 283050126 330225147 660450294 990675441 1981350882