Search a number
-
+
26514864 = 243441499
BaseRepresentation
bin110010100100…
…1010110110000
31211220002120000
41211021112300
523241433424
62344150000
7441241545
oct145112660
954802500
1026514864
1113a70012
128a68300
13565488c
143742bcc
1524db3c9
hex19495b0

26514864 has 100 divisors (see below), whose sum is σ = 78771000. Its totient is φ = 8605440.

The previous prime is 26514863. The next prime is 26514869. The reversal of 26514864 is 46841562.

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

It is not an unprimeable number, because it can be changed into a prime (26514863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52887 + ... + 53385.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 226514864 is an apocalyptic number.

26514864 is a gapful number since it is divisible by the number (24) 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 26514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39385500).

26514864 is an abundant number, since it is smaller than the sum of its proper divisors (52256136).

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

26514864 is a wasteful number, since it uses less digits than its factorization.

26514864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 26514864 is about 5149.2585874085. The cubic root of 26514864 is about 298.1923296368.

It can be divided in two parts, 265 and 14864, that added together give a square (15129 = 1232).

The spelling of 26514864 in words is "twenty-six million, five hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 499 648 656 738 984 998 1107 1296 1476 1497 1968 1996 2214 2952 2994 3321 3992 4428 4491 5904 5988 6642 7984 8856 8982 11976 13284 13473 17712 17964 20459 23952 26568 26946 35928 40419 40918 53136 53892 61377 71856 80838 81836 107784 122754 161676 163672 184131 215568 245508 323352 327344 368262 491016 552393 646704 736524 982032 1104786 1473048 1657179 2209572 2946096 3314358 4419144 6628716 8838288 13257432 26514864