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26815152 = 2437213877
BaseRepresentation
bin110011001001…
…0101010110000
31212110100110210
41212102222300
523331041102
62354424120
7443632200
oct146225260
955410423
1026815152
1114155691
128b92040
13572b470
1437c0400
15254a36c
hex1992ab0

26815152 has 120 divisors (see below), whose sum is σ = 86879856. Its totient is φ = 7064064.

The previous prime is 26815141. The next prime is 26815153. The reversal of 26815152 is 25151862.

It is not an unprimeable number, because it can be changed into a prime (26815153) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30138 + ... + 31014.

Almost surely, 226815152 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 26815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43439928).

26815152 is an abundant number, since it is smaller than the sum of its proper divisors (60064704).

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

26815152 is a wasteful number, since it uses less digits than its factorization.

26815152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 902 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 26815152 is about 5178.3348675033. The cubic root of 26815152 is about 299.3138094495.

The spelling of 26815152 in words is "twenty-six million, eight hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 877 1092 1176 1274 1456 1754 1911 2184 2352 2548 2631 3508 3822 4368 5096 5262 6139 7016 7644 10192 10524 11401 12278 14032 15288 18417 21048 22802 24556 30576 34203 36834 42096 42973 45604 49112 68406 73668 79807 85946 91208 98224 128919 136812 147336 159614 171892 182416 239421 257838 273624 294672 319228 343784 478842 515676 547248 558649 638456 687568 957684 1031352 1117298 1276912 1675947 1915368 2062704 2234596 3351894 3830736 4469192 6703788 8938384 13407576 26815152