Search a number
-
+
26536428 = 2232832107
BaseRepresentation
bin110010100111…
…0100111101100
31211221012010200
41211032213230
523243131203
62344433500
7441361452
oct145164754
954835120
1026536428
1113a85236
128a78890
135661639
14374a9d2
1524e29a3
hex194e9ec

26536428 has 54 divisors (see below), whose sum is σ = 68530644. Its totient is φ = 8657232.

The previous prime is 26536427. The next prime is 26536429. The reversal of 26536428 is 82463562.

26536428 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 642 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (26536427) and next prime (26536429).

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

It is a junction number, because it is equal to n+sod(n) for n = 26536392 and 26536401.

It is not an unprimeable number, because it can be changed into a prime (26536423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 247951 + ... + 248057.

It is an arithmetic number, because the mean of its divisors is an integer number (1269086).

Almost surely, 226536428 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 26536428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34265322).

26536428 is an abundant number, since it is smaller than the sum of its proper divisors (41994216).

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

26536428 is a wasteful number, since it uses less digits than its factorization.

26536428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 195 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 26536428 is about 5151.3520555287. The cubic root of 26536428 is about 298.2731456525.

The spelling of 26536428 in words is "twenty-six million, five hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 107 166 214 249 321 332 428 498 642 747 963 996 1284 1494 1926 2988 3852 6889 8881 13778 17762 20667 26643 27556 35524 41334 53286 62001 79929 82668 106572 124002 159858 248004 319716 737123 1474246 2211369 2948492 4422738 6634107 8845476 13268214 26536428