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10849944 = 23371729131
BaseRepresentation
bin101001011000…
…111010011000
3202102020022210
4221120322120
510234144234
61024315120
7161136330
oct51307230
922366283
1010849944
1161407a6
123772aa0
13232b6b1
1416260c0
15e44be9
hexa58e98

10849944 has 128 divisors (see below), whose sum is σ = 34214400. Its totient is φ = 2795520.

The previous prime is 10849933. The next prime is 10849957. The reversal of 10849944 is 44994801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82759 + ... + 82889.

It is an arithmetic number, because the mean of its divisors is an integer number (267300).

Almost surely, 210849944 is an apocalyptic number.

10849944 is a gapful number since it is divisible by the number (14) 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 10849944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107200).

10849944 is an abundant number, since it is smaller than the sum of its proper divisors (23364456).

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

10849944 is a wasteful number, since it uses less digits than its factorization.

10849944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10849944 is about 3293.9253179148. The cubic root of 10849944 is about 221.3820980116.

The spelling of 10849944 in words is "ten million, eight hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 131 136 168 174 203 204 232 238 262 348 357 393 406 408 476 493 524 609 696 714 786 812 917 952 986 1048 1218 1428 1479 1572 1624 1834 1972 2227 2436 2751 2856 2958 3144 3451 3668 3799 3944 4454 4872 5502 5916 6681 6902 7336 7598 8908 10353 11004 11397 11832 13362 13804 15196 15589 17816 20706 22008 22794 26593 26724 27608 30392 31178 41412 45588 46767 53186 53448 62356 64583 79779 82824 91176 93534 106372 124712 129166 159558 187068 193749 212744 258332 319116 374136 387498 452081 516664 638232 774996 904162 1356243 1549992 1808324 2712486 3616648 5424972 10849944