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26285040 = 2433543283
BaseRepresentation
bin110010001000…
…1001111110000
31211110102022000
41210101033300
523212110130
62335214000
7436263525
oct144211760
954412260
1026285040
1113923381
128977300
1355a40a2
1436c314c
152493260
hex19113f0

26285040 has 160 divisors (see below), whose sum is σ = 92970240. Its totient is φ = 6822144.

The previous prime is 26285029. The next prime is 26285053. The reversal of 26285040 is 4058262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26284995 and 26285013.

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, 92739 + ... + 93021.

It is an arithmetic number, because the mean of its divisors is an integer number (581064).

Almost surely, 226285040 is an apocalyptic number.

26285040 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 26285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46485120).

26285040 is an abundant number, since it is smaller than the sum of its proper divisors (66685200).

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

26285040 is a wasteful number, since it uses less digits than its factorization.

26285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26285040 is about 5126.8937964424. The cubic root of 26285040 is about 297.3282769533.

The spelling of 26285040 in words is "twenty-six million, two hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 283 344 360 387 430 432 516 540 566 645 688 720 774 849 860 1032 1080 1132 1161 1290 1415 1548 1698 1720 1935 2064 2160 2264 2322 2547 2580 2830 3096 3396 3440 3870 4245 4528 4644 5094 5160 5660 5805 6192 6792 7641 7740 8490 9288 10188 10320 11320 11610 12169 12735 13584 15282 15480 16980 18576 20376 22640 23220 24338 25470 30564 30960 33960 36507 38205 40752 46440 48676 50940 60845 61128 67920 73014 76410 92880 97352 101880 109521 121690 122256 146028 152820 182535 194704 203760 219042 243380 292056 305640 328563 365070 438084 486760 547605 584112 611280 657126 730140 876168 973520 1095210 1314252 1460280 1642815 1752336 2190420 2628504 2920560 3285630 4380840 5257008 6571260 8761680 13142520 26285040