Search a number
-
+
26732112 = 24311197257
BaseRepresentation
bin110010111111…
…0011001010000
31212022010120020
41211332121100
523320411422
62352543440
7443135121
oct145763120
955263506
1026732112
11140a9260
128b51b80
1356cc724
14379c048
15253095c
hex197e650

26732112 has 80 divisors (see below), whose sum is σ = 76012992. Its totient is φ = 8028160.

The previous prime is 26732081. The next prime is 26732117. The reversal of 26732112 is 21123762.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26732117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103888 + ... + 104144.

Almost surely, 226732112 is an apocalyptic number.

26732112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26732112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38006496).

26732112 is an abundant number, since it is smaller than the sum of its proper divisors (49280880).

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

26732112 is a wasteful number, since it uses less digits than its factorization.

26732112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 26732112 is about 5170.3106289661. The cubic root of 26732112 is about 299.0045226252.

Adding to 26732112 its reverse (21123762), we get a palindrome (47855874).

It can be divided in two parts, 2673 and 2112, that multiplied together give a square (5645376 = 23762).

The spelling of 26732112 in words is "twenty-six million, seven hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 197 257 264 394 514 528 591 771 788 1028 1182 1542 1576 2056 2167 2364 2827 3084 3152 4112 4334 4728 5654 6168 6501 8481 8668 9456 11308 12336 13002 16962 17336 22616 26004 33924 34672 45232 50629 52008 67848 101258 104016 135696 151887 202516 303774 405032 556919 607548 810064 1113838 1215096 1670757 2227676 2430192 3341514 4455352 6683028 8910704 13366056 26732112