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84939008 = 2871131139
BaseRepresentation
bin1010001000000…
…01000100000000
312220211100102012
411010001010000
5133221022013
612232312052
72050653410
oct504010400
9186740365
1084939008
1143a44a30
1224542628
131479c48b
14b3d0640
1576cc1a8
hex5101100

84939008 has 144 divisors (see below), whose sum is σ = 219770880. Its totient is φ = 31795200.

The previous prime is 84938993. The next prime is 84939047. The reversal of 84939008 is 80093948.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611003 + ... + 611141.

Almost surely, 284939008 is an apocalyptic number.

84939008 is a gapful number since it is divisible by the number (88) 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 84939008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

84939008 is an abundant number, since it is smaller than the sum of its proper divisors (134831872).

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

84939008 is a wasteful number, since it uses less digits than its factorization.

84939008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 84939008 is about 9216.2361080866. The cubic root of 84939008 is about 439.5777767831.

The spelling of 84939008 in words is "eighty-four million, nine hundred thirty-nine thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 139 154 176 217 224 248 256 278 308 341 352 434 448 496 556 616 682 704 868 896 973 992 1112 1232 1364 1408 1529 1736 1792 1946 1984 2224 2387 2464 2728 2816 3058 3472 3892 3968 4309 4448 4774 4928 5456 6116 6944 7784 7936 8618 8896 9548 9856 10703 10912 12232 13888 15568 17236 17792 19096 19712 21406 21824 24464 27776 30163 31136 34472 35584 38192 42812 43648 47399 48928 55552 60326 62272 68944 76384 85624 87296 94798 97856 120652 124544 137888 152768 171248 189596 195712 241304 249088 275776 305536 331793 342496 379192 391424 482608 551552 611072 663586 684992 758384 965216 1103104 1327172 1369984 1516768 1930432 2654344 2739968 3033536 3860864 5308688 6067072 7721728 10617376 12134144 21234752 42469504 84939008