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26261496 = 23371979
BaseRepresentation
bin110010000101…
…1011111111000
31211102020000000
41210023133320
523210331441
62334513000
7436135062
oct144133770
954366000
1026261496
1113907718
128965760
135596461
1436b8732
15248b2b6
hex190b7f8

26261496 has 128 divisors (see below), whose sum is σ = 78720000. Its totient is φ = 8188128.

The previous prime is 26261429. The next prime is 26261513. The reversal of 26261496 is 69416262.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26261496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332385 + ... + 332463.

It is an arithmetic number, because the mean of its divisors is an integer number (615000).

Almost surely, 226261496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26261496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39360000).

26261496 is an abundant number, since it is smaller than the sum of its proper divisors (52458504).

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

26261496 is an equidigital number, since it uses as much as digits as its factorization.

26261496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 26261496 is about 5124.5971548991. The cubic root of 26261496 is about 297.2394762757.

The spelling of 26261496 in words is "twenty-six million, two hundred sixty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 81 108 114 152 158 162 171 216 228 237 243 316 324 342 456 474 486 513 632 648 684 711 729 948 972 1026 1368 1422 1458 1501 1539 1896 1944 2052 2133 2187 2844 2916 3002 3078 4104 4266 4374 4503 4617 5688 5832 6004 6156 6399 8532 8748 9006 9234 12008 12312 12798 13509 13851 17064 17496 18012 18468 19197 25596 27018 27702 36024 36936 38394 40527 41553 51192 54036 55404 57591 76788 81054 83106 108072 110808 115182 121581 153576 162108 166212 172773 230364 243162 324216 332424 345546 364743 460728 486324 691092 729486 972648 1094229 1382184 1458972 2188458 2917944 3282687 4376916 6565374 8753832 13130748 26261496