Search a number
-
+
26255376 = 243272612
BaseRepresentation
bin110010000101…
…0000000010000
31211101220121100
41210022000100
523210133001
62334424400
7436111200
oct144120020
954356540
1026255376
1113903064
128962100
135593734
1436b6400
152489586
hex190a010

26255376 has 135 divisors (see below), whose sum is σ = 86899293. Its totient is φ = 7378560.

The previous prime is 26255371. The next prime is 26255381. The reversal of 26255376 is 67355262.

It is a happy number.

The square root of 26255376 is 5124.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (26255371) and next prime (26255381).

It can be written as a sum of positive squares in only one way, i.e., 853776 + 25401600 = 924^2 + 5040^2 .

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

Its product of digits (75600) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 26255376.

It is not an unprimeable number, because it can be changed into a prime (26255371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430386 + ... + 430446.

Almost surely, 226255376 is an apocalyptic number.

26255376 is the 5124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26255376

26255376 is an abundant number, since it is smaller than the sum of its proper divisors (60643917).

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

26255376 is a wasteful number, since it uses less digits than its factorization.

26255376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The cubic root of 26255376 is about 297.2163848402.

Multiplying 26255376 by its sum of digits (36), we get a square (945193536 = 307442).

26255376 divided by its sum of digits (36) gives a square (729316 = 8542).

It can be divided in two parts, 2625 and 5376, that added together give a triangular number (8001 = T126).

The spelling of 26255376 in words is "twenty-six million, two hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 61 63 72 84 98 112 122 126 144 147 168 183 196 244 252 294 336 366 392 427 441 488 504 549 588 732 784 854 882 976 1008 1098 1176 1281 1464 1708 1764 2196 2352 2562 2928 2989 3416 3528 3721 3843 4392 5124 5978 6832 7056 7442 7686 8784 8967 10248 11163 11956 14884 15372 17934 20496 22326 23912 26047 26901 29768 30744 33489 35868 44652 47824 52094 53802 59536 61488 66978 71736 78141 89304 104188 107604 133956 143472 156282 178608 182329 208376 215208 234423 267912 312564 364658 416752 430416 468846 535824 546987 625128 729316 937692 1093974 1250256 1458632 1640961 1875384 2187948 2917264 3281922 3750768 4375896 6563844 8751792 13127688 26255376