Search a number
-
+
26404672 = 267173467
BaseRepresentation
bin110010010111…
…0011101000000
31211200111101211
41210232131000
523224422142
62341535504
7440302360
oct144563500
954614354
1026404672
11139a5248
128a14594
135616688
1437149a0
1524b8917
hex192e740

26404672 has 56 divisors (see below), whose sum is σ = 63422784. Its totient is φ = 10647552.

The previous prime is 26404663. The next prime is 26404673. The reversal of 26404672 is 27640462.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26404673) 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 7 ways as a sum of consecutive naturals, for example, 5883 + ... + 9349.

Almost surely, 226404672 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 26404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711392).

26404672 is an abundant number, since it is smaller than the sum of its proper divisors (37018112).

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

26404672 is a wasteful number, since it uses less digits than its factorization.

26404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 26404672 is about 5138.5476547367. The cubic root of 26404672 is about 297.7786744526.

The spelling of 26404672 in words is "twenty-six million, four hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3467 3808 6934 7616 13868 24269 27736 48538 55472 58939 97076 110944 117878 194152 221888 235756 388304 412573 471512 776608 825146 943024 1553216 1650292 1886048 3300584 3772096 6601168 13202336 26404672