Search a number
-
+
26446364 = 2275371251
BaseRepresentation
bin110010011100…
…0101000011100
31211202121120222
41210320220130
523232240424
62342500512
7440535050
oct144705034
954677528
1026446364
1113a235aa
128a34738
13562c649
143725c60
1524c5e5e
hex1938a1c

26446364 has 48 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 10920000.

The previous prime is 26446363. The next prime is 26446369. The reversal of 26446364 is 46364462.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

Its product of digits (82944) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26446363) 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 15 ways as a sum of consecutive naturals, for example, 105239 + ... + 105489.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 226446364 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 26446364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

26446364 is an abundant number, since it is smaller than the sum of its proper divisors (28421092).

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

26446364 is a wasteful number, since it uses less digits than its factorization.

26446364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

The square root of 26446364 is about 5142.6028429191. The cubic root of 26446364 is about 297.9353192053.

The spelling of 26446364 in words is "twenty-six million, four hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 71 106 142 212 251 284 371 497 502 742 994 1004 1484 1757 1988 3514 3763 7028 7526 13303 15052 17821 26341 26606 35642 52682 53212 71284 93121 105364 124747 186242 249494 372484 498988 944513 1889026 3778052 6611591 13223182 26446364