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26889940 = 22571119919
BaseRepresentation
bin110011010010…
…0111011010100
31212121011001201
41212210323110
523340434230
62400202244
7444363220
oct146447324
955534051
1026889940
11141a68a0
129009384
13575650c
1437dd780
1525625ca
hex19a4ed4

26889940 has 96 divisors (see below), whose sum is σ = 74188800. Its totient is φ = 7931520.

The previous prime is 26889911. The next prime is 26889953. The reversal of 26889940 is 4998862.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28801 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 226889940 is an apocalyptic number.

26889940 is a gapful number since it is divisible by the number (20) 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 26889940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094400).

26889940 is an abundant number, since it is smaller than the sum of its proper divisors (47298860).

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

26889940 is a wasteful number, since it uses less digits than its factorization.

26889940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 26889940 is about 5185.5510796829. The cubic root of 26889940 is about 299.5918152396.

The spelling of 26889940 in words is "twenty-six million, eight hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 919 1045 1330 1463 1540 1838 2090 2660 2926 3676 4180 4595 5852 6433 7315 9190 10109 12866 14630 17461 18380 20218 25732 29260 32165 34922 40436 50545 64330 69844 70763 87305 101090 122227 128660 141526 174610 192071 202180 244454 283052 349220 353815 384142 488908 611135 707630 768284 960355 1222270 1344497 1415260 1920710 2444540 2688994 3841420 5377988 6722485 13444970 26889940