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26981064 = 233211219163
BaseRepresentation
bin110011011101…
…1001011001000
31212202210001200
41212323023020
523401343224
62402144200
7445222665
oct146731310
955683050
1026981064
1114259300
129052060
135788b36
143824a6c
15257e5c9
hex19bb2c8

26981064 has 144 divisors (see below), whose sum is σ = 85066800. Its totient is φ = 7698240.

The previous prime is 26981063. The next prime is 26981089. The reversal of 26981064 is 46018962.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26981063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165447 + ... + 165609.

Almost surely, 226981064 is an apocalyptic number.

26981064 is a gapful number since it is divisible by the number (24) 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 26981064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42533400).

26981064 is an abundant number, since it is smaller than the sum of its proper divisors (58085736).

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

26981064 is a wasteful number, since it uses less digits than its factorization.

26981064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26981064 is about 5194.3299856671. The cubic root of 26981064 is about 299.9298502647.

The spelling of 26981064 in words is "twenty-six million, nine hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 163 171 198 209 228 242 264 326 342 363 396 418 456 484 489 627 652 684 726 792 836 968 978 1089 1254 1304 1368 1452 1467 1672 1793 1881 1956 2178 2299 2508 2904 2934 3097 3586 3762 3912 4356 4598 5016 5379 5868 6194 6897 7172 7524 8712 9196 9291 10758 11736 12388 13794 14344 15048 16137 18392 18582 19723 20691 21516 24776 27588 27873 32274 34067 37164 39446 41382 43032 55176 55746 59169 64548 68134 74328 78892 82764 102201 111492 118338 129096 136268 157784 165528 177507 204402 222984 236676 272536 306603 355014 374737 408804 473352 613206 710028 749474 817608 1124211 1226412 1420056 1498948 2248422 2452824 2997896 3372633 4496844 6745266 8993688 13490532 26981064