Search a number
-
+
26881488 = 24321779139
BaseRepresentation
bin110011010001…
…0110111010000
31212120201110200
41212202313100
523340201423
62400055200
7444326454
oct146426720
955521420
1026881488
11141a0507
129004500
13575270a
1437da664
15255ed43
hex19a2dd0

26881488 has 120 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 8266752.

The previous prime is 26881487. The next prime is 26881501. The reversal of 26881488 is 88418862.

It is a happy number.

It is a super-2 number, since 2×268814882 = 1445228794188288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26881483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193323 + ... + 193461.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 226881488 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 26881488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

26881488 is an abundant number, since it is smaller than the sum of its proper divisors (54363312).

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

26881488 is a wasteful number, since it uses less digits than its factorization.

26881488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 26881488 is about 5184.7360588558. The cubic root of 26881488 is about 299.5604228878.

It can be divided in two parts, 268814 and 88, that multiplied together give a palindrome (23655632).

The spelling of 26881488 in words is "twenty-six million, eight hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 79 102 136 139 144 153 158 204 237 272 278 306 316 408 417 474 556 612 632 711 816 834 948 1112 1224 1251 1264 1343 1422 1668 1896 2224 2363 2448 2502 2686 2844 3336 3792 4029 4726 5004 5372 5688 6672 7089 8058 9452 10008 10744 10981 11376 12087 14178 16116 18904 20016 21267 21488 21962 24174 28356 32232 32943 37808 42534 43924 48348 56712 64464 65886 85068 87848 96696 98829 113424 131772 170136 175696 186677 193392 197658 263544 340272 373354 395316 527088 560031 746708 790632 1120062 1493416 1581264 1680093 2240124 2986832 3360186 4480248 6720372 8960496 13440744 26881488