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26676468 = 223271317479
BaseRepresentation
bin110010111000…
…0110011110100
31212012022020100
41211300303310
523312121333
62351434100
7442513650
oct145606364
955168210
1026676468
1114070475
128b25930
1356b02c0
143785a60
15251e213
hex1970cf4

26676468 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 6607872.

The previous prime is 26676467. The next prime is 26676479. The reversal of 26676468 is 86467662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26676467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55453 + ... + 55931.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 226676468 is an apocalyptic number.

26676468 is a gapful number since it is divisible by the number (28) 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 26676468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

26676468 is an abundant number, since it is smaller than the sum of its proper divisors (61382412).

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

26676468 is a wasteful number, since it uses less digits than its factorization.

26676468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 521 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 26676468 is about 5164.9267177764. The cubic root of 26676468 is about 298.7969150717.

The spelling of 26676468 in words is "twenty-six million, six hundred seventy-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 479 546 612 663 714 819 884 958 1071 1092 1326 1428 1437 1547 1638 1916 1989 2142 2652 2874 3094 3276 3353 3978 4284 4311 4641 5748 6188 6227 6706 7956 8143 8622 9282 10059 12454 13412 13923 16286 17244 18564 18681 20118 24429 24908 27846 30177 32572 37362 40236 43589 48858 55692 56043 57001 60354 73287 74724 87178 97716 105859 112086 114002 120708 130767 146574 171003 174356 211718 224172 228004 261534 293148 317577 342006 392301 423436 513009 523068 635154 684012 741013 784602 952731 1026018 1270308 1482026 1569204 1905462 2052036 2223039 2964052 3810924 4446078 6669117 8892156 13338234 26676468