Search a number
-
+
26939328 = 2631343251
BaseRepresentation
bin110011011000…
…0111111000000
31212200122210220
41212300333000
523344024303
62401223040
7444660213
oct146607700
955618726
1026939328
111422aa09
129031a80
135772b40
14381377a
152572053
hex19b0fc0

26939328 has 112 divisors (see below), whose sum is σ = 78857856. Its totient is φ = 8064000.

The previous prime is 26939287. The next prime is 26939333. The reversal of 26939328 is 82393962.

It is a self number, because there is not a number n which added to its sum of digits gives 26939328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107203 + ... + 107453.

It is an arithmetic number, because the mean of its divisors is an integer number (704088).

Almost surely, 226939328 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 26939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39428928).

26939328 is an abundant number, since it is smaller than the sum of its proper divisors (51918528).

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

26939328 is a wasteful number, since it uses less digits than its factorization.

26939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 26939328 is about 5190.3109733425. The cubic root of 26939328 is about 299.7751203615.

It can be divided in two parts, 2693 and 9328, that added together give a palindrome (12021).

The spelling of 26939328 in words is "twenty-six million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 129 156 172 192 208 251 258 312 344 416 502 516 559 624 688 753 832 1004 1032 1118 1248 1376 1506 1677 2008 2064 2236 2496 2752 3012 3263 3354 4016 4128 4472 6024 6526 6708 8032 8256 8944 9789 10793 12048 13052 13416 16064 17888 19578 21586 24096 26104 26832 32379 35776 39156 43172 48192 52208 53664 64758 78312 86344 104416 107328 129516 140309 156624 172688 208832 259032 280618 313248 345376 420927 518064 561236 626496 690752 841854 1036128 1122472 1683708 2072256 2244944 3367416 4489888 6734832 8979776 13469664 26939328