Search a number
-
+
26958272 = 2611149257
BaseRepresentation
bin110011011010…
…1100111000000
31212201121210112
41212311213000
523400131042
62401450452
7445066355
oct146654700
955647715
1026958272
1114243170
129040a28
13577b653
14381a62c
152577982
hex19b59c0

26958272 has 56 divisors (see below), whose sum is σ = 58978800. Its totient is φ = 12124160.

The previous prime is 26958271. The next prime is 26958299. The reversal of 26958272 is 27285962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26958271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104768 + ... + 105024.

Almost surely, 226958272 is an apocalyptic number.

26958272 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 26958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29489400).

26958272 is an abundant number, since it is smaller than the sum of its proper divisors (32020528).

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

26958272 is a wasteful number, since it uses less digits than its factorization.

26958272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 26958272 is about 5192.1355914498. The cubic root of 26958272 is about 299.8453721663.

The spelling of 26958272 in words is "twenty-six million, nine hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 149 176 257 298 352 514 596 704 1028 1192 1639 2056 2384 2827 3278 4112 4768 5654 6556 8224 9536 11308 13112 16448 22616 26224 38293 45232 52448 76586 90464 104896 153172 180928 306344 421223 612688 842446 1225376 1684892 2450752 3369784 6739568 13479136 26958272