Search a number
-
+
26554112 = 281379101
BaseRepresentation
bin110010101001…
…0111100000000
31211222002101122
41211102330000
523244212422
62345051412
7441464144
oct145227400
954862348
1026554112
1113a97552
128a86b68
1356696c0
143753224
1524e7d42
hex1952f00

26554112 has 72 divisors (see below), whose sum is σ = 58376640. Its totient is φ = 11980800.

The previous prime is 26554097. The next prime is 26554133. The reversal of 26554112 is 21145562.

26554112 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 262862 + ... + 262962.

Almost surely, 226554112 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 26554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29188320).

26554112 is an abundant number, since it is smaller than the sum of its proper divisors (31822528).

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

26554112 is a wasteful number, since it uses less digits than its factorization.

26554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 26554112 is about 5153.0682122402. The cubic root of 26554112 is about 298.3393878141.

Adding to 26554112 its reverse (21145562), we get a palindrome (47699674).

The spelling of 26554112 in words is "twenty-six million, five hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 101 104 128 158 202 208 256 316 404 416 632 808 832 1027 1264 1313 1616 1664 2054 2528 2626 3232 3328 4108 5056 5252 6464 7979 8216 10112 10504 12928 15958 16432 20224 21008 25856 31916 32864 42016 63832 65728 84032 103727 127664 131456 168064 207454 255328 262912 336128 414908 510656 829816 1021312 1659632 2042624 3319264 6638528 13277056 26554112