Search a number
-
+
26248416 = 253713851
BaseRepresentation
bin110010000100…
…0010011100000
31211101120001120
41210020103200
523204422131
62334332240
7436051665
oct144102340
954346046
1026248416
11138a8907
12895a080
13559050c
1436b3a6c
152487496
hex19084e0

26248416 has 48 divisors (see below), whose sum is σ = 69890688. Its totient is φ = 8624000.

The previous prime is 26248337. The next prime is 26248427. The reversal of 26248416 is 61484262.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4891 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (1456056).

Almost surely, 226248416 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 26248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945344).

26248416 is an abundant number, since it is smaller than the sum of its proper divisors (43642272).

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

26248416 is a wasteful number, since it uses less digits than its factorization.

26248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3927 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 26248416 is about 5123.3207980762. The cubic root of 26248416 is about 297.1901196307.

The spelling of 26248416 in words is "twenty-six million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 3851 6816 7702 11553 15404 23106 30808 46212 61616 92424 123232 184848 273421 369696 546842 820263 1093684 1640526 2187368 3281052 4374736 6562104 8749472 13124208 26248416