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981442872 = 233319892687
BaseRepresentation
bin111010011111111…
…010000100111000
32112101202110112000
4322133322010320
54002222132442
6241215421000
733215061324
oct7237720470
92471673460
10981442872
11463aa9613
12234824760
13128440737
14944ba984
155b267d4c
hex3a7fa138

981442872 has 128 divisors (see below), whose sum is σ = 2903040000. Its totient is φ = 306332928.

The previous prime is 981442849. The next prime is 981442873. The reversal of 981442872 is 278244189.

It is a super-2 number, since 2×9814428722 = 1926460221999216768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981442873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 363913 + ... + 366599.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2981442872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981442872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

981442872 is an abundant number, since it is smaller than the sum of its proper divisors (1921597128).

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

981442872 is a wasteful number, since it uses less digits than its factorization.

981442872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 981442872 is about 31327.9886363616. The cubic root of 981442872 is about 993.7756282461.

The spelling of 981442872 in words is "nine hundred eighty-one million, four hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 89 108 114 152 171 178 216 228 267 342 356 456 513 534 684 712 801 1026 1068 1368 1602 1691 2052 2136 2403 2687 3204 3382 4104 4806 5073 5374 6408 6764 8061 9612 10146 10748 13528 15219 16122 19224 20292 21496 24183 30438 32244 40584 45657 48366 51053 60876 64488 72549 91314 96732 102106 121752 145098 153159 182628 193464 204212 239143 290196 306318 365256 408424 459477 478286 580392 612636 717429 918954 956572 1225272 1378431 1434858 1837908 1913144 2152287 2756862 2869716 3675816 4304574 4543717 5513724 5739432 6456861 8609148 9087434 11027448 12913722 13631151 17218296 18174868 25827444 27262302 36349736 40893453 51654888 54524604 81786906 109049208 122680359 163573812 245360718 327147624 490721436 981442872