Search a number
-
+
26829036 = 22331397197
BaseRepresentation
bin110011001011…
…0000011101100
31212111001112000
41212112003230
523332012121
62355012300
7444020523
oct146260354
955431460
1026829036
1114165063
128b9a090
135734890
1437c54ba
15254e526
hex19960ec

26829036 has 96 divisors (see below), whose sum is σ = 76063680. Its totient is φ = 8128512.

The previous prime is 26828993. The next prime is 26829041. The reversal of 26829036 is 63092862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136090 + ... + 136286.

It is an arithmetic number, because the mean of its divisors is an integer number (792330).

Almost surely, 226829036 is an apocalyptic number.

26829036 is a gapful number since it is divisible by the number (26) 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 26829036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38031840).

26829036 is an abundant number, since it is smaller than the sum of its proper divisors (49234644).

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

26829036 is a wasteful number, since it uses less digits than its factorization.

26829036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26829036 is about 5179.6752793973. The cubic root of 26829036 is about 299.3654588045.

The spelling of 26829036 in words is "twenty-six million, eight hundred twenty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 97 108 117 156 194 197 234 291 351 388 394 468 582 591 702 788 873 1164 1182 1261 1404 1746 1773 2364 2522 2561 2619 3492 3546 3783 5044 5122 5238 5319 7092 7566 7683 10244 10476 10638 11349 15132 15366 19109 21276 22698 23049 30732 34047 38218 45396 46098 57327 68094 69147 76436 92196 114654 136188 138294 171981 229308 248417 276588 343962 496834 515943 687924 745251 993668 1031886 1490502 2063772 2235753 2981004 4471506 6707259 8943012 13414518 26829036